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 16, 36 and 48

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

    What's the Least Common Multiple (LCM) of 16, 36 and 48?

    Answer

    LCM of 16, 36 and 48 is
    144

    First common multiples: 144, 288, 432, …

    144 is divisible by all three: 144 ÷ 16 = 9, 144 ÷ 36 = 4, 144 ÷ 48 = 3 — and 9, 4 and 3 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/16 by 9 and of y/36 by 4 and of z/48 by 3.

    16 = 24

    36 = 22 × 32

    48 = 24 × 3

    Prime163648Highest power
    224222424
    3—32332

    — = 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

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--36--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--36--48">What is the LCM of 16, 36 and 48? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 16, 36 and 48? The LCM of 16, 36 and 48 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/16--36--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1633361,584
    1634362,448
    1635365,040
    163636144
    1636375,328
    1636382,736
    1636391,872
    163640720
    1636415,904
    1636421,008
    1636436,192
    1636441,584
    163645720
    1636463,312
    1636476,768
    163648144
    1636497,056
    1636503,600
    1636512,448
    1636521,872
    1636537,632
    163654432
    1636557,920
    1636561,008
    1636572,736
    1636584,176
    1636598,496
    163660720
    1636618,784
    1636624,464

    FAQ

    What's the Least Common Multiple (LCM) of 16, 36 and 48?

    LCM of 16, 36 and 48 is 144

    How to find the LCM of 16, 36 and 48 by prime factorization?

    Take every prime that appears in 16, 36 and 48 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² = 144.

    Can you get the LCM of 16, 36 and 48 two numbers at a time?

    Yes. The LCM of 16 and 36 is 144, and the LCM of 144 and 48 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 16, 36 and 48?

    Yes, and by definition it is the smallest positive integer that is: 144 ÷ 16, 144 ÷ 36 and 144 ÷ 48 all come out whole. Any other common multiple of 16, 36 and 48 is a multiple of 144.

    See Also