Question

 If HCF (a, b) = 12 and a × b = 1800 then LCM (a,b) is:​

Answer 1

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Answer 2

Given,

HCF (a, b) = 12 and a × b = 1800

To Find,

LCM (a,b) =?

Solution,

We can solve the question as follows:

It is given that the HCF of a and b is equal to 12 and their product is 1800. We have to find the LCM of a and b.

$HCF(a,b) = 12$

$a*b = 1800$

The product of two numbers is equal to the product of their HCF and LCM.

$a*b = HCF(a,b)*LCM(a,b)$

Substituting the values in the above formula,

$1800 = 12*LCM(a,b)$

$LCM(a,b) = \frac{1800}{12}$

                 $= 150$

Hence, the LCM of a and b is equal to 150.