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    LCM for 18, 42 and 48

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

    What's the Least Common Multiple (LCM) of 18, 42 and 48?

    Answer

    LCM of 18, 42 and 48 is
    1,008

    First common multiples: 1,008; 2,016; 3,024; …

    1,008 is divisible by all three: 1,008 ÷ 18 = 56; 1,008 ÷ 42 = 24; 1,008 ÷ 48 = 21 — and 56, 24 and 21 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/18 by 56 and of y/42 by 24 and of z/48 by 21.

    18 = 2 × 32

    42 = 2 × 3 × 7

    48 = 24 × 3

    Prime184248Highest power
    2222424
    3323332
    7—7—7

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

    LCM = 24 × 32 × 7 = 1,008

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--42--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--42--48">What is the LCM of 18, 42 and 48? - Calculatio</a>Copy
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    What is the LCM of 18, 42 and 48? The LCM of 18, 42 and 48 is 1,008 — 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/18--42--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1833421,386
    1834422,142
    183542630
    183642252
    1837424,662
    1838422,394
    1839421,638
    1840422,520
    1841425,166
    184242126
    1842435,418
    1842442,772
    184245630
    1842462,898
    1842475,922
    1842481,008
    184249882
    1842503,150
    1842512,142
    1842523,276
    1842536,678
    184254378
    1842556,930
    184256504
    1842572,394
    1842583,654
    1842597,434
    1842601,260
    1842617,686
    1842623,906

    FAQ

    What's the Least Common Multiple (LCM) of 18, 42 and 48?

    LCM of 18, 42 and 48 is 1,008

    How to find the LCM of 18, 42 and 48 by prime factorization?

    Take every prime that appears in 18, 42 and 48 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² × 7 = 1,008.

    Can you get the LCM of 18, 42 and 48 two numbers at a time?

    Yes. The LCM of 18 and 42 is 126, and the LCM of 126 and 48 is 1,008 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,008 divisible by 18, 42 and 48?

    Yes, and by definition it is the smallest positive integer that is: 1,008 ÷ 18, 1,008 ÷ 42 and 1,008 ÷ 48 all come out whole. Any other common multiple of 18, 42 and 48 is a multiple of 1,008.

    See Also