Question 53

The proportion among three numbers is 3 : 4 : 5 and their LCM is 1800. The second number is:

Solution

Given, LCM = 1800

The proportion among three numbers is 3 : 4 : 5

Let the numbers are 3a, 4a, 5a respectively

LCM of the numbers = 3 x 4 x 5 x a = 60a

$$=$$> 60a = 1800

$$=$$> a = 30

$$\therefore\ $$Second number = 4a = 4(30) = 120

Hence, the correct answer is Option B

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