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50 Practice LCM Questions for Class 6
Certainly! Here are 50 detailed LCM (Least Common Multiple) questions designed for a grade 6 understanding:
| Type | Question |
|---|---|
| Simple LCM | Find the LCM of 4 and 6. |
| Multiple Choice | Which number is a multiple of both 5 and 8? a) 12 b) 15 c) 20 d) 25 |
| Application of LCM | Maria bakes cookies every 10 days, and her brother bakes cookies every 15 days. If they both baked cookies today, after how many days will they bake cookies on the same day again? |
| Common Multiples | List the first three common multiples of 3 and 5. |
| Real-Life Scenario | A gardener waters plants every 12 days, and another gardener waters plants every 18 days. If both gardeners watered the plants today, after how many days will they water the plants on the same day again? |
| Word Problem | There are two buses. One arrives every 9 minutes, and the other arrives every 15 minutes. If both buses just left, after how many minutes will they arrive at the bus stop at the same time? |
| Prime Factorization and LCM | Find the LCM of 8 and 12 using prime factorization. |
| Application of LCM in Groups | A group of friends likes to meet every 7 days, another group every 10 days, and a third group every 14 days. If they all met today, after how many days will they meet on the same day again? |
| LCM with Three Numbers | Calculate the LCM of 6, 9, and 15. |
| LCM of Larger Numbers | Find the LCM of 18 and 24. |
| Multiple Choices | Which of the following is the least common multiple of 6 and 9? a) 12 b) 18 c) 24 d) 27 |
| Word Problem | Emily has a math test every 8 days, and a science test every 12 days. If she had both tests today, after how many days will she have both tests on the same day again? |
| Common Multiples | List the first four common multiples of 4 and 7. |
| Application of LCM | A bus departs from a station every 15 minutes, and a train departs every 20 minutes. If both just left, after how many minutes will they depart at the station at the same time? |
| Prime Factorization and LCM | Find the LCM of 10 and 15 using prime factorization. |
| Real-Life Application | Jenny buys groceries every 5 days, and her brother buys groceries every 8 days. If they both bought groceries today, after how many days will they buy groceries on the same day again? |
| LCM with Three Numbers | Calculate the LCM of 7, 9, and 14. |
| Word Problem | Two friends decide to meet at a park. One friend arrives every 6 days, and the other arrives every 9 days. If both arrived today, after how many days will they meet at the park on the same day again? |
| LCM of Larger Numbers | Find the LCM of 16 and 28. |
| Multiple Choices | Which of the following is the least common multiple of 3, 5, and 6? a) 10 b) 15 c) 18 d) 20 |
| Application of LCM | A library restocks books every 10 days, and a bookstore does it every 16 days. If both restocked books today, after how many days will they restock books on the same day again? |
| Common Multiples | List the first five common multiples of 9 and 12. |
| Word Problem | Two trains start from the same station. One travels every 8 days, and the other every 14 days. If both just left, after how many days will they leave the station at the same time? |
| Multiple Choices | Which number is a multiple of both 6 and 7? a) 24 b) 35 c) 42 d) 49 |
| Real-Life Application | Sarah receives her magazine subscription every 12 days, and her |
| Prime Factorization and LCM | Find the LCM of 14 and 21 using prime factorization. |
| Application of LCM in Events | There are three events: A occurs every 5 days, B every 8 days, and C every 12 days. If they all happen today, after how many days will they occur on the same day again? |
| Word Problem | Two friends decide to water their plants. One waters every 6 days, and the other every 9 days. If both watered their plants today, after how many days will they water them on the same day again? |
| LCM of Larger Numbers | Find the LCM of 20 and 25. |
| Real-Life Scenario | A factory produces toys every 14 days, and another factory produces toys every 18 days. If both produced toys today, after how many days will they produce toys on the same day again? |
| Application of LCM | A bakery makes fresh bread every 10 days, and a grocery store does it every 18 days. If both made fresh bread today, after how many days will they make fresh bread on the same day again? |
| Common Multiples | List the first six common multiples of 5 and 8. |
| Word Problem | Two buses depart from a station. One leaves every 12 minutes, and the other leaves every 16 minutes. If both just left, after how many minutes will they depart from the station at the same time? |
| Multiple Choices | What is the least common multiple of 9 and 12? a) 18 b) 24 c) 27 d) 36 |
| Real-Life Application | Mark receives his online order every 7 days, and his sister’s order arrives every 14 days. If both orders arrived today, after how many days will they arrive on the same day again? |
| Prime Factorization and LCM | Find the LCM of 18 and 24 using prime factorization. |
| Application of LCM in Events | There are four events: A occurs every 6 days, B every 9 days, C every 12 days, and D every 15 days. If they all happen today, after how many days will they occur on the same day again? |
| Word Problem | Two friends decide to mow their lawns. One mows every 8 days, and the other every 12 days. If both mowed today, after how many days will they mow their lawns on the same day again? |
| LCM of Larger Numbers | Find the LCM of 15 and 30. |
| Real-Life Scenario | A car rental agency replaces its fleet every 20 days, and another agency does it every 25 days. If both agencies replaced their fleets today, after how many days will they replace fleets on the same day again? |
| Application of LCM | A mobile phone company releases a new model every 14 days, and another company does it every 21 days. If both released a new model today, after how many days will they release new models on the same day again? |
| Common Multiples | List the first seven common multiples of 6 and 9. |
| Word Problem | Two trains start from the same station. One travels every 10 days, and the other every 15 days. If both just left, after how many days will they leave the station at the same time? |
| Multiple Choices | What is the least common multiple of 5 and 7? a) 20 b) 25 c) 30 d) 35 |
| Real-Life Application | Alex receives his monthly magazine every 9 days, and his sister’s magazine arrives every 12 days. If both magazines arrived today, after how many days will they arrive on the same day again? |
| Prime Factorization and LCM | Find the LCM of 15 and 18 using prime factorization. |
| Application of LCM in Events | There are five events: A occurs every 8 days, B every 12 days, C every 16 days, D every 20 days, and E every 24 days. If they all happen today, after how many days will they occur on the same day again? |
| Word Problem | Two friends decide to paint their rooms. One paints every 7 days, and the other every 14 days. If both painted today, after how many days will they paint their rooms on the same day again? |
| LCM of Larger Numbers | Find the LCM of 18 and 36. |
| Real-Life Scenario | A company updates its software every 16 days, and another company does it every 20 days. If both companies updated their software today, after how many days will they update software on the same day again? |
As we finish exploring Least Common Multiples (LCM), we’ve looked at different types of math problems and real-life situations. The questions we discussed are like puzzles, but they’re also ways to understand LCM better, especially for grade 6 students.