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7 April, 00:13

Least common multiple of 2,5,6

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  1. 7 April, 02:58
    0
    The LCM of 2,5, and 6 is 30.
  2. 7 April, 03:19
    0
    Method 1: By Listing Multiples

    List out all multiples of each number, and find the first common one.

    Multiples of 2

    : 2, 4, 6 ... 26, 28, 30, ...

    Multiples of 5

    : 5, 10, 15, 20, 25, 30, ...

    Multiples of 6

    : 6, 12, 18, 24, 30, ...

    Therefore, the LCM is 303030.

    Method 2: By Prime Factors

    List all prime factors of each denominator, and find the union of these primes.

    Prime Factors of 2

    : 2

    Prime Factors of 5

    : 5

    Prime Factors of 6

    : 2, 3

    Therefore, the LCM is 2*3*5=30.

    LCM = 30
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