Question

if hcf of two number is 2 and their products is 120 find their lcm ?

Answer 1

hcf×lcm = product of two numbers
2×lcm=120
lcm=120/2
lcm =60

Answer 2

let the two numbers are a, b .


given,

HCF (a, b) = 2

and product (a×b) = 120


we know that,


HCF (a, b) × lcm (a, b) = product of a and b.

so,

2× lcm (a, b) = 120

lcm (a, b) = 120/2

= 60

hence , the required lcm is 60.


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