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    • Question : The LCM of 96, 136, and 504 is: Option 1: 34272 Option 2: 36548 Option 3: 25872 Option 4: 28564
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    Question : The LCM of 96, 136, and 504 is:

    Option 1: 34272

    Option 2: 36548

    Option 3: 25872

    Option 4: 28564

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    Team Careers360 22nd Jan, 2024
    Answer
    Answer (1)
    Team Careers360 23rd Jan, 2024

    Correct Answer: 34272


    Solution : Prime factorization of 96, 136, and 504 is:
    96 = 2 5 × 3
    136 = 2 3 × 17
    504 = 2 3 × 3 2 × 7
    Now, the LCM is the product of the highest powers of primes in prime factorization of given numbers
    So, LCM = 2 5 × 3 2 × 7 × 17
    or, LCM = 34272
    Hence, the correct answer is 34272.

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