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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

    (One thousand eight hundred forty-eight)

    1,848 is the smallest positive integer that 11, 14 and 24 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 11, 14 and 24 by Prime Factorization

    Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

    All Prime Factors of 11: 11 (exponent form: 11)

    All Prime Factors of 14: 2 × 7 (exponent form: 2 × 7)

    All Prime Factors of 24: 2 × 2 × 2 × 3 (exponent form: 23 × 3)

    Prime factor111424Highest power
    2—22323
    3——33
    7—7—7
    1111——11

    LCM = 23 × 3 × 7 × 11 = 1,848

    Checking the LCM of 11, 14 and 24 Two Numbers at a Time

    The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

    LCM(a, b) = (a × b) ÷ GCD(a, b)

    LCM(11, 14) = (11 × 14) ÷ 1 = 154 ÷ 1 = 154

    LCM(154, 24) = (154 × 24) ÷ 2 = 3,696 ÷ 2 = 1,848

    LCM(11, 14, 24) = 1,848

    The pairs may be taken in any order — 14 and 24 first, then 11 — and the answer is the same 1,848. That is exactly why the two routes on this page agree.

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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.
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    LCM Table

    Number 1Number 2Number 3LCM
    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

    About "Least Common Multiple of 3 Numbers" Calculator

    This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 11, 14 and 24? (The answer is: 1,848). Enter the first number (e.g. '11'), the second (e.g. '14') and the third (e.g. '24'), then hit the 'Calculate' button.
    The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    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, and it is the check this page prints. 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