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Two numbers are in the ratio 5 : 6 and L.C.M of them is 150. The smaller number is
1. 25
2. 30
3. 15
4. 10

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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.

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