LCM

Class 6 LCM Practice Questions

Least Common Multiple (LCM) Practice Questions

Class 6 Mathematics

Q. No.	Question	Answer
1	Find the LCM of 12 and 18.	LCM = 36 12 = 2×2×3, 18 = 2×3×3, LCM = 2×2×3×3 = 36
2	What is the smallest number that is divisible by both 8 and 10?	LCM = 40 8 = 2×2×2, 10 = 2×5, LCM = 2×2×2×5 = 40
3	Two bells ring at intervals of 15 and 20 minutes. If they rang together at noon, at what time will they next ring together?	After 60 minutes (1:00 PM) LCM of 15 and 20 is 60 minutes
4	Find the LCM of the first three even numbers (2, 4, 6).	LCM = 12 2 = 2, 4 = 2×2, 6 = 2×3, LCM = 2×2×3 = 12
5	Ria is making gift bags. She has 16 chocolates and 24 candies. She wants to use all of them. What is the largest number of identical bags she can make?	8 bags We need HCF of 16 and 24 which is 8
6	Find the LCM of 6, 9, and 15.	LCM = 90 6 = 2×3, 9 = 3×3, 15 = 3×5, LCM = 2×3×3×5 = 90
7	Which of the following is the LCM of 7 and 13? a) 7 b) 13 c) 20 d) 91	d) 91 7 and 13 are prime numbers, so LCM = 7×13 = 91
8	A gardener is planting saplings in rows. He wants to plant 20 rose plants and 30 marigold plants in rows with an equal number of plants. What is the greatest number of plants that can be in each row?	10 plants per row We need HCF of 20 and 30 which is 10
9	Find the LCM of 25 and 40 using the prime factorization method.	LCM = 200 25 = 5×5, 40 = 2×2×2×5, LCM = 2×2×2×5×5 = 200
10	Three friends start jogging on a circular track. They take 2, 3, and 4 minutes to complete one lap. If they start together, after how many minutes will they all meet at the starting point for the first time?	After 12 minutes LCM of 2, 3, and 4 is 12 minutes