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    LCM for 18, 28 and 48

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

    What's the Least Common Multiple (LCM) of 18, 28 and 48?

    Answer

    LCM of 18, 28 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 ÷ 28 = 36; 1,008 ÷ 48 = 21 — and 56, 36 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/28 by 36 and of z/48 by 21.

    18 = 2 × 32

    28 = 22 × 7

    48 = 24 × 3

    Prime182848Highest power
    22222424
    332—332
    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--28--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--28--48">What is the LCM of 18, 28 and 48? - Calculatio</a>Copy
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    What is the LCM of 18, 28 and 48? The LCM of 18, 28 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--28--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1828332,772
    1828344,284
    1828351,260
    182836252
    1828379,324
    1828384,788
    1828393,276
    1828402,520
    18284110,332
    182842252
    18284310,836
    1828442,772
    1828451,260
    1828465,796
    18284711,844
    1828481,008
    1828491,764
    1828506,300
    1828514,284
    1828523,276
    18285313,356
    182854756
    18285513,860
    182856504
    1828574,788
    1828587,308
    18285914,868
    1828601,260
    18286115,372
    1828627,812

    FAQ

    What's the Least Common Multiple (LCM) of 18, 28 and 48?

    LCM of 18, 28 and 48 is 1,008

    How to find the LCM of 18, 28 and 48 by prime factorization?

    Take every prime that appears in 18, 28 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, 28 and 48 two numbers at a time?

    Yes. The LCM of 18 and 28 is 252, and the LCM of 252 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, 28 and 48?

    Yes, and by definition it is the smallest positive integer that is: 1,008 ÷ 18, 1,008 ÷ 28 and 1,008 ÷ 48 all come out whole. Any other common multiple of 18, 28 and 48 is a multiple of 1,008.

    See Also