Question 84

The L.C.M. of two integers is 144 and their G.C.D is 12. If one of the integers is 36, then the other integer is

Solution

Given, LCM = 144

GCD = HCF = 12

One of the integer = 36

Let the other integer = a

We know that,

Product of 2 integers = HCF x LCM

$$\Rightarrow$$ 36 x a = 144 x 12

$$\Rightarrow$$ a = 48

$$\therefore\ $$The other integer = 48

Hence, the correct answer is Option C

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