Question
Mathematics Question on Some Problems on HCF and LCM
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
(a) L.C.M. of 9 and 4
= 2 x 2 x 3 x 3
= 36
(b) L.C.M. of 12 and 5
= 2 x 2 x 3 x 5
= 60
(c) L.C.M. of 6 and 5
= 2 x 3 x 5
= 30
(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.