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Question : The LCM of 96, 132, and 438 is:

Option 1: 86084

Option 2: 67055

Option 3: 85046

Option 4: 77088


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 26th Jan, 2024

Correct Answer: 77088


Solution : The prime factorization of the given numbers is:
$96  = 2^5 \times 3 $
$132  = 2^2 \times 3^1 \times 11^1 \\$
$438  = 2^1 \times 3^1 \times 73^1$
Now, identify the highest powers of each prime factor:
It is $2^5$,$3^1$,$11^1$, and $73^1$
Multiply these highest powers to find the LCM:
$\text{LCM of}\;(96, 132, 438) = 2^5 \times 3^1 \times 11^1 \times 73^1 = 77088$
Hence, the correct answer is 77088.

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