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    LCM for 4, 7 and 11

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

    What's the Least Common Multiple (LCM) of 4, 7 and 11?

    Answer

    LCM of 4, 7 and 11 is
    308

    (Three hundred eight)

    308 is the smallest positive integer that 4, 7 and 11 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 4, 7 and 11 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 4: 2 × 2 (exponent form: 22)

    All Prime Factors of 7: 7 (exponent form: 7)

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

    Prime factor4711Highest power
    222——22
    7—7—7
    11——1111

    LCM = 22 × 7 × 11 = 308

    Checking the LCM of 4, 7 and 11 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(4, 7) = (4 × 7) ÷ 1 = 28 ÷ 1 = 28

    LCM(28, 11) = (28 × 11) ÷ 1 = 308 ÷ 1 = 308

    LCM(4, 7, 11) = 308

    The pairs may be taken in any order — 7 and 11 first, then 4 — and the answer is the same 308. That is exactly why the two routes on this page agree.

    Related Calculations

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    What is the LCM of 4, 7 and 11?. The LCM of 4, 7 and 11 is 308 — 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
    14728
    24728
    34784
    44728
    457140
    46784
    47728
    47856
    479252
    4710140
    4711308
    471284
    4713364
    471428
    4715420
    4716112
    4717476
    4718252
    4719532
    4720140
    472184
    4722308
    4723644
    4724168
    4725700
    4726364
    4727756
    472828
    4729812
    4730420

    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 4, 7 and 11? (The answer is: 308). Enter the first number (e.g. '4'), the second (e.g. '7') and the third (e.g. '11'), 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 4, 7 and 11?

    LCM of 4, 7 and 11 is 308

    How to find the LCM of 4, 7 and 11 by prime factorization?

    Take every prime that appears in 4, 7 and 11 to the highest power it reaches in any one of them and multiply: 2² × 7 × 11 = 308.

    Can you get the LCM of 4, 7 and 11 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 4 and 7 is 28, and the LCM of 28 and 11 is 308 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 308 divisible by 4, 7 and 11?

    Yes, and by definition it is the smallest positive integer that is: 308 ÷ 4, 308 ÷ 7 and 308 ÷ 11 all come out whole. Any other common multiple of 4, 7 and 11 is a multiple of 308.

    See Also