Question

Find the LCM of the following numbers :
1. 9 and 4
2. 12 and 5
3. 6 and 5
4. 15 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Answer 1

(a) L.C.M. of 9 and 4
= 2 x 2 x 3 x 3
= 36

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(b) L.C.M. of 12 and 5
= 2 x 2 x 3 x 5
= 60

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(c) L.C.M. of 6 and 5
= 2 x 3 x 5
= 30

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(d) L.C.M. of 15 and 4
= 2 x 2 x 3 x 5
= 60
Yes, the L.C.M. is equal to the product of two numbers in each case. And L.C.M. is also the multiple of 3.