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    LCM for 20, 35 and 45

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

    What's the Least Common Multiple (LCM) of 20, 35 and 45?

    Answer

    LCM of 20, 35 and 45 is
    1,260

    First common multiples: 1,260; 2,520; 3,780; …

    1,260 is divisible by all three: 1,260 ÷ 20 = 63; 1,260 ÷ 35 = 36; 1,260 ÷ 45 = 28 — and 63, 36 and 28 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/20 by 63 and of y/35 by 36 and of z/45 by 28.

    20 = 22 × 5

    35 = 5 × 7

    45 = 32 × 5

    Prime203545Highest power
    222——22
    3——3232
    55555
    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 = 22 × 32 × 5 × 7 = 1,260

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--35--45Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/20--35--45">What is the LCM of 20, 35 and 45? - Calculatio</a>Copy
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    What is the LCM of 20, 35 and 45? The LCM of 20, 35 and 45 is 1,260 — 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/20--35--45/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    203035420
    2031354,340
    2032351,120
    2033354,620
    2034352,380
    203535140
    2035361,260
    2035375,180
    2035382,660
    2035395,460
    203540280
    2035415,740
    203542420
    2035436,020
    2035441,540
    2035451,260
    2035463,220
    2035476,580
    2035481,680
    203549980
    203550700
    2035517,140
    2035521,820
    2035537,420
    2035543,780
    2035551,540
    203556280
    2035577,980
    2035584,060
    2035598,260

    FAQ

    What's the Least Common Multiple (LCM) of 20, 35 and 45?

    LCM of 20, 35 and 45 is 1,260

    How to find the LCM of 20, 35 and 45 by prime factorization?

    Take every prime that appears in 20, 35 and 45 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 × 7 = 1,260.

    Can you get the LCM of 20, 35 and 45 two numbers at a time?

    Yes. The LCM of 20 and 35 is 140, and the LCM of 140 and 45 is 1,260 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,260 divisible by 20, 35 and 45?

    Yes, and by definition it is the smallest positive integer that is: 1,260 ÷ 20, 1,260 ÷ 35 and 1,260 ÷ 45 all come out whole. Any other common multiple of 20, 35 and 45 is a multiple of 1,260.

    See Also