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    LCM for 4, 16 and 36

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

    What's the Least Common Multiple (LCM) of 4, 16 and 36?

    Answer

    LCM of 4, 16 and 36 is
    144

    First common multiples: 144, 288, 432, …

    144 is divisible by all three: 144 ÷ 4 = 36, 144 ÷ 16 = 9, 144 ÷ 36 = 4 — and 36, 9 and 4 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/4 by 36 and of y/16 by 9 and of z/36 by 4.

    4 = 22

    16 = 24

    36 = 22 × 32

    Prime41636Highest power
    222242224
    3——3232

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

    LCM = 24 × 32 = 144

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--16--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--16--36">What is the LCM of 4, 16 and 36? - Calculatio</a>Copy
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    What is the LCM of 4, 16 and 36? The LCM of 4, 16 and 36 is 144 — 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/4--16--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    41621336
    41622176
    41623368
    4162448
    41625400
    41626208
    41627432
    41628112
    41629464
    41630240
    41631496
    4163232
    41633528
    41634272
    41635560
    41636144
    41637592
    41638304
    41639624
    4164080
    41641656
    41642336
    41643688
    41644176
    41645720
    41646368
    41647752
    4164848
    41649784
    41650400

    FAQ

    What's the Least Common Multiple (LCM) of 4, 16 and 36?

    LCM of 4, 16 and 36 is 144

    How to find the LCM of 4, 16 and 36 by prime factorization?

    Take every prime that appears in 4, 16 and 36 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² = 144.

    Can you get the LCM of 4, 16 and 36 two numbers at a time?

    Yes. The LCM of 4 and 16 is 16, and the LCM of 16 and 36 is 144 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 144 divisible by 4, 16 and 36?

    Yes, and by definition it is the smallest positive integer that is: 144 ÷ 4, 144 ÷ 16 and 144 ÷ 36 all come out whole. Any other common multiple of 4, 16 and 36 is a multiple of 144.

    See Also