Question

The product of two number is 2196.if there hcf is 40. Find lcm

Answer 1

H.C.F × L.C.M = product of numbers,

40×L.C.M=2196,

L.C.M=2196/40,

L.C.M=549/10

Answer 2

Let the two numbers be 40a & 40b where a and b are coprime.

=> 2196 = 40a x 40b

=> ab = 2196/1600 = 1.3

Since a & b are coprimes, their product must be an integer.

=> No such pair of natural numbers exist.

Theoritically,

HCF x LCM = Product of two numbers

40 x LCM = 2196

LCM = 2196/40 = 54.9

:-)