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    LCM for 8, 30 and 45

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

    What's the Least Common Multiple (LCM) of 8, 30 and 45?

    Answer

    LCM of 8, 30 and 45 is
    360

    First common multiples: 360; 720; 1,080; …

    360 is divisible by all three: 360 ÷ 8 = 45, 360 ÷ 30 = 12, 360 ÷ 45 = 8 — and 45, 12 and 8 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/8 by 45 and of y/30 by 12 and of z/45 by 8.

    8 = 23

    30 = 2 × 3 × 5

    45 = 32 × 5

    Prime83045Highest power
    2232—23
    3—33232
    5—555

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

    LCM = 23 × 32 × 5 = 360

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--30--45Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--30--45">What is the LCM of 8, 30 and 45? - Calculatio</a>Copy
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    What is the LCM of 8, 30 and 45? The LCM of 8, 30 and 45 is 360 — 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/8--30--45/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    83030120
    830313,720
    83032480
    830331,320
    830342,040
    83035840
    83036360
    830374,440
    830382,280
    830391,560
    83040120
    830414,920
    83042840
    830435,160
    830441,320
    83045360
    830462,760
    830475,640
    83048240
    830495,880
    83050600
    830512,040
    830521,560
    830536,360
    830541,080
    830551,320
    83056840
    830572,280
    830583,480
    830597,080

    FAQ

    What's the Least Common Multiple (LCM) of 8, 30 and 45?

    LCM of 8, 30 and 45 is 360

    How to find the LCM of 8, 30 and 45 by prime factorization?

    Take every prime that appears in 8, 30 and 45 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 5 = 360.

    Can you get the LCM of 8, 30 and 45 two numbers at a time?

    Yes. The LCM of 8 and 30 is 120, and the LCM of 120 and 45 is 360 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 360 divisible by 8, 30 and 45?

    Yes, and by definition it is the smallest positive integer that is: 360 ÷ 8, 360 ÷ 30 and 360 ÷ 45 all come out whole. Any other common multiple of 8, 30 and 45 is a multiple of 360.

    See Also