Correct Answer - Option 1 : 25
Given:
Numbers are in the ratio 5 : 6.
L.C.M of number = 150
Calculation:
Let the number be 5x and 6x respectively.
As L.C.M of numbers = Common factor
⇒ 150 = x × 5 × 6
⇒ x = 150/30 = 5
⇒ The Smallest number = 5x = 25
∴ The smallest number is 25.
In arithmetic and number theory, the least common multiple, the lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
