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Q.

Find the ratio between the LCM and HCF of 5, 15, and 20.

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a

11:1

b

4:3

c

12:1

d

9:1

answer is D.

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Detailed Solution

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By prime factorisation:

5= 5 x 1
15 = 5 × 3
20 = 2 × 2 × 5
 

Least Common Multiple of (5, 15, 20) = 5 × 3 × 2 × 2 = 60
Highest Common Factor of (5, 15, 20) = 5

Ratio=LCMHCF=605=121=12:1

Therefore, 12:1 is the correct ratio.

 

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Find the ratio between the LCM and HCF of 5, 15, and 20.