Question

Three numbers are in the ratio 2:5:7 and their lcm is 490 find the square root of the largest number

Answer 1

49

Explanation:

The ratio of three numbers = 2:5:7

Then the numbers are 2x,5x and 7x

Given that the LCM of these numbers = 490

LCM of 2x,5x,7x is 2×5×7×x = 70x

Then, we have 70x = 490

x = 7

Hence, the numbers are 14, 35 and 49

Largest number = 49

∴The square root of the largest number = 7