Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    LCM for 4, 12 and 24

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

    What's the Least Common Multiple (LCM) of 4, 12 and 24?

    Answer

    LCM of 4, 12 and 24 is
    24

    First common multiples: 24, 48, 72, …

    24 is divisible by all three: 24 ÷ 4 = 6, 24 ÷ 12 = 2, 24 ÷ 24 = 1 — and 6, 2 and 1 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 6 and of y/12 by 2.

    4 = 22

    12 = 22 × 3

    24 = 23 × 3

    Prime41224Highest power
    222222323
    3—333

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

    LCM = 23 × 3 = 24

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--12--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--12--24">What is the LCM of 4, 12 and 24? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 4, 12 and 24? The LCM of 4, 12 and 24 is 24 — 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--12--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    491236
    4101260
    41112132
    4121212
    41213156
    4121484
    4121560
    4121648
    41217204
    4121836
    41219228
    4122060
    4122184
    41222132
    41223276
    4122424
    41225300
    41226156
    41227108
    4122884
    41229348
    4123060
    41231372
    4123296
    41233132
    41234204
    41235420
    4123636
    41237444
    41238228

    FAQ

    What's the Least Common Multiple (LCM) of 4, 12 and 24?

    LCM of 4, 12 and 24 is 24

    How to find the LCM of 4, 12 and 24 by prime factorization?

    Take every prime that appears in 4, 12 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3 = 24.

    Can you get the LCM of 4, 12 and 24 two numbers at a time?

    Yes. The LCM of 4 and 12 is 12, and the LCM of 12 and 24 is 24 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 24 divisible by 4, 12 and 24?

    Yes, and by definition it is the smallest positive integer that is: 24 ÷ 4, 24 ÷ 12 and 24 ÷ 24 all come out whole. Any other common multiple of 4, 12 and 24 is a multiple of 24.

    See Also