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The L.C.M and H.C.F of the numbers 24 and 36 are in the ratio?
1. 1 : 6
2. 6 : 1
3. 5 : 1
4. 1 : 5

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Correct Answer - Option 2 : 6 : 1

GIVEN:

Numbers = 24, 36

CONCEPT:

L.C.M of a group of numbers is the smallest number that is the multiple of all the numbers.

H.C.F of a group of numbers is the greatest factor of the numbers.

CALCULATION:

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

L.C.M = 2 × 2 × 2 × 3 × 3 = 72

H.C.F = 2 × 2 × 3 = 12

Required ratio = 72/12 = 6 : 1

∴ the ratio is 6 : 1 

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