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    LCM for 11, 14 and 24

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 11, 14 and 24?

    Answer

    LCM of 11, 14 and 24 is
    1,848

    First common multiples: 1,848; 3,696; 5,544; …

    1,848 is divisible by all three: 1,848 ÷ 11 = 168; 1,848 ÷ 14 = 132; 1,848 ÷ 24 = 77 — and 168, 132 and 77 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/11 by 168 and of y/14 by 132 and of z/24 by 77.

    11 — prime

    14 = 2 × 7

    24 = 23 × 3

    Prime111424Highest power
    2—22323
    3——33
    7—7—7
    1111——11

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 23 × 3 × 7 × 11 = 1,848

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/11--14--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/11--14--24">What is the LCM of 11, 14 and 24? - Calculatio</a>Copy
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    What is the LCM of 11, 14 and 24? The LCM of 11, 14 and 24 is 1,848 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/11--14--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    911141,386
    101114770
    111114154
    111214924
    1113142,002
    111414154
    1114152,310
    1114161,232
    1114172,618
    1114181,386
    1114192,926
    1114201,540
    111421462
    111422154
    1114233,542
    1114241,848
    1114253,850
    1114262,002
    1114274,158
    111428308
    1114294,466
    1114302,310
    1114314,774
    1114322,464
    111433462
    1114342,618
    111435770
    1114362,772
    1114375,698
    1114382,926

    FAQ

    What's the Least Common Multiple (LCM) of 11, 14 and 24?

    LCM of 11, 14 and 24 is 1,848

    How to find the LCM of 11, 14 and 24 by prime factorization?

    Take every prime that appears in 11, 14 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 7 × 11 = 1,848.

    Can you get the LCM of 11, 14 and 24 two numbers at a time?

    Yes. The LCM of 11 and 14 is 154, and the LCM of 154 and 24 is 1,848 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,848 divisible by 11, 14 and 24?

    Yes, and by definition it is the smallest positive integer that is: 1,848 ÷ 11, 1,848 ÷ 14 and 1,848 ÷ 24 all come out whole. Any other common multiple of 11, 14 and 24 is a multiple of 1,848.

    See Also