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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

    First common multiples: 792; 1,584; 2,376; …

    792 is divisible by all three: 792 ÷ 8 = 99, 792 ÷ 11 = 72, 792 ÷ 36 = 22 — and 99, 72 and 22 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/8 by 99 and of y/11 by 72 and of z/36 by 22.

    8 = 23

    11 — prime

    36 = 22 × 32

    Prime81136Highest power
    223—2223
    3——3232
    11—11—11

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

    LCM = 23 × 32 × 11 = 792

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--11--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--11--36">What is the LCM of 8, 11 and 36? - Calculatio</a>Copy
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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.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--11--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    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

    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. 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