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Question : The least common multiple of 48 and 64 is _____ times the highest common factor of 12 and 18.

Option 1: 28

Option 2: 32

Option 3: 24

Option 4: 16


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

Correct Answer: 32


Solution : The least common multiple (LCM) of 48 and 64 is 192.
The highest common factor (HCF) of 12 and 18 is 6.
Therefore, the LCM of 48 and 64 is $\frac{192}{ 6}$ = 32 times the HCF of 12 and 18.
Hence, the correct answer is 32.

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