Question

Find the L.C.M. of the following numbers:

(a) 9 and 4 (b) 12 and 5 (c) 6 and 5 (d) 15 and 4

Observe a common property in the obtained L.C.Ms. Is L.C.M. 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

(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.

Answer 2

(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.