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Find the ratio of L.C.M and H.C.F of the numbers 15 and 72.
1. 12 : 17
2. 15 : 19
3. 120 : 1
4. 37 : 39

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Correct Answer - Option 3 : 120 : 1

Given

Two numbers are 15 and 72

Calculations

Prime factors of 15 and 72

15 = 3 × 5

72 = 2 × 2 × 2 × 3 × 3

H.C.F = 3

L.C.M = 2 × 2 × 2 × 3 × 3 × 5

= 360

Ratio of L.C.M and H.C.F = 360 : 3

= 120 : 1

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.

The greatest number which divides each of the two or more numbers is called HCF or Highest Common Factor.

It is also called the Greatest Common Measure(GCM) and Greatest Common Divisor(GCD).

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