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    LCM for 8, 11 and 36

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

    What's the Least Common Multiple (LCM) of 8, 11 and 36?

    Answer

    LCM of 8, 11 and 36 is
    792

    (Seven hundred ninety-two)

    792 is the smallest positive integer that 8, 11 and 36 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 8, 11 and 36 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 8: 2 × 2 × 2 (exponent form: 23)

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

    All Prime Factors of 36: 2 × 2 × 3 × 3 (exponent form: 22 × 32)

    Prime factor81136Highest power
    223—2223
    3——3232
    11—11—11

    LCM = 23 × 32 × 11 = 792

    Checking the LCM of 8, 11 and 36 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(8, 11) = (8 × 11) ÷ 1 = 88 ÷ 1 = 88

    LCM(88, 36) = (88 × 36) ÷ 4 = 3,168 ÷ 4 = 792

    LCM(8, 11, 36) = 792

    The pairs may be taken in any order — 11 and 36 first, then 8 — and the answer is the same 792. That is exactly why the two routes on this page agree.

    Related Calculations

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    What is the LCM of 8, 11 and 36?. The LCM of 8, 11 and 36 is 792 — 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
    811211,848
    8112288
    811232,024
    81124264
    811252,200
    811261,144
    811272,376
    81128616
    811292,552
    811301,320
    811312,728
    81132352
    81133264
    811341,496
    811353,080
    81136792
    811373,256
    811381,672
    811393,432
    81140440
    811413,608
    811421,848
    811433,784
    8114488
    811453,960
    811462,024
    811474,136
    81148528
    811494,312
    811502,200

    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 8, 11 and 36? (The answer is: 792). Enter the first number (e.g. '8'), the second (e.g. '11') and the third (e.g. '36'), 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 8, 11 and 36?

    LCM of 8, 11 and 36 is 792

    How to find the LCM of 8, 11 and 36 by prime factorization?

    Take every prime that appears in 8, 11 and 36 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 11 = 792.

    Can you get the LCM of 8, 11 and 36 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 8 and 11 is 88, and the LCM of 88 and 36 is 792 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 792 divisible by 8, 11 and 36?

    Yes, and by definition it is the smallest positive integer that is: 792 ÷ 8, 792 ÷ 11 and 792 ÷ 36 all come out whole. Any other common multiple of 8, 11 and 36 is a multiple of 792.

    See Also