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, 21 and 24

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

    What's the Least Common Multiple (LCM) of 4, 21 and 24?

    Answer

    LCM of 4, 21 and 24 is
    168

    First common multiples: 168, 336, 504, …

    168 is divisible by all three: 168 ÷ 4 = 42, 168 ÷ 21 = 8, 168 ÷ 24 = 7 — and 42, 8 and 7 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 42 and of y/21 by 8 and of z/24 by 7.

    4 = 22

    21 = 3 × 7

    24 = 23 × 3

    Prime42124Highest power
    222—2323
    3—333
    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 = 23 × 3 × 7 = 168

    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--21--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--21--24">What is the LCM of 4, 21 and 24? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 4, 21 and 24? The LCM of 4, 21 and 24 is 168 — 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--21--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    4921252
    41021420
    41121924
    4122184
    413211,092
    4142184
    41521420
    41621336
    417211,428
    41821252
    419211,596
    42021420
    4212184
    42122924
    421231,932
    42124168
    421252,100
    421261,092
    42127756
    4212884
    421292,436
    42130420
    421312,604
    42132672
    42133924
    421341,428
    42135420
    42136252
    421373,108
    421381,596

    FAQ

    What's the Least Common Multiple (LCM) of 4, 21 and 24?

    LCM of 4, 21 and 24 is 168

    How to find the LCM of 4, 21 and 24 by prime factorization?

    Take every prime that appears in 4, 21 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 7 = 168.

    Can you get the LCM of 4, 21 and 24 two numbers at a time?

    Yes. The LCM of 4 and 21 is 84, and the LCM of 84 and 24 is 168 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 168 divisible by 4, 21 and 24?

    Yes, and by definition it is the smallest positive integer that is: 168 ÷ 4, 168 ÷ 21 and 168 ÷ 24 all come out whole. Any other common multiple of 4, 21 and 24 is a multiple of 168.

    See Also