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 18, 27 and 45

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

    What's the Least Common Multiple (LCM) of 18, 27 and 45?

    Answer

    LCM of 18, 27 and 45 is
    270

    First common multiples: 270, 540, 810, …

    270 is divisible by all three: 270 ÷ 18 = 15, 270 ÷ 27 = 10, 270 ÷ 45 = 6 — and 15, 10 and 6 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 15 and of y/27 by 10 and of z/45 by 6.

    18 = 2 × 32

    27 = 33

    45 = 32 × 5

    Prime182745Highest power
    22——2
    332333233
    5——55

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

    LCM = 2 × 33 × 5 = 270

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--27--45Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--27--45">What is the LCM of 18, 27 and 45? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 18, 27 and 45? The LCM of 18, 27 and 45 is 270 — 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--27--45/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    182730270
    1827311,674
    182732864
    182733594
    182734918
    1827351,890
    182736108
    1827371,998
    1827381,026
    182739702
    1827401,080
    1827412,214
    182742378
    1827432,322
    1827441,188
    182745270
    1827461,242
    1827472,538
    182748432
    1827492,646
    1827501,350
    182751918
    1827521,404
    1827532,862
    18275454
    1827552,970
    1827561,512
    1827571,026
    1827581,566
    1827593,186

    FAQ

    What's the Least Common Multiple (LCM) of 18, 27 and 45?

    LCM of 18, 27 and 45 is 270

    How to find the LCM of 18, 27 and 45 by prime factorization?

    Take every prime that appears in 18, 27 and 45 to the highest power it reaches in any one of them and multiply: 2 × 3³ × 5 = 270.

    Can you get the LCM of 18, 27 and 45 two numbers at a time?

    Yes. The LCM of 18 and 27 is 54, and the LCM of 54 and 45 is 270 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 270 divisible by 18, 27 and 45?

    Yes, and by definition it is the smallest positive integer that is: 270 ÷ 18, 270 ÷ 27 and 270 ÷ 45 all come out whole. Any other common multiple of 18, 27 and 45 is a multiple of 270.

    See Also