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Question : What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24, and 36?

Option 1: 3 : 1

Option 2: 4 : 1

Option 3: 6 : 1

Option 4: 2 : 1


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 6 : 1


Solution : Factors of 12 = 2 2 × 3 1
Factors of 24 = 2 3 ×3 1
Factors of 36 = 2 2 × 3 2
LCM of (12, 24, 36) = 2 3 × 3 2 = 72
HCF of (12, 24, 36) = 2 2 × 3 1 = 12
$\therefore$ Required ratio = $\frac{72​}{12}=\frac{6}{1}$
Hence, the correct answer is 6 : 1.

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