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    LCM for 7, 20 and 35

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

    What's the Least Common Multiple (LCM) of 7, 20 and 35?

    Answer

    LCM of 7, 20 and 35 is
    140

    First common multiples: 140, 280, 420, …

    140 is divisible by all three: 140 ÷ 7 = 20, 140 ÷ 20 = 7, 140 ÷ 35 = 4 — and 20, 7 and 4 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/7 by 20 and of y/20 by 7 and of z/35 by 4.

    7 — prime

    20 = 22 × 5

    35 = 5 × 7

    Prime72035Highest power
    2—22—22
    5—555
    77—77

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

    LCM = 22 × 5 × 7 = 140

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/7--20--35Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/7--20--35">What is the LCM of 7, 20 and 35? - Calculatio</a>Copy
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    What is the LCM of 7, 20 and 35? The LCM of 7, 20 and 35 is 140 — 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/7--20--35/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    72020140
    72021420
    720221,540
    720233,220
    72024840
    72025700
    720261,820
    720273,780
    72028140
    720294,060
    72030420
    720314,340
    720321,120
    720334,620
    720342,380
    72035140
    720361,260
    720375,180
    720382,660
    720395,460
    72040280
    720415,740
    72042420
    720436,020
    720441,540
    720451,260
    720463,220
    720476,580
    720481,680
    72049980

    FAQ

    What's the Least Common Multiple (LCM) of 7, 20 and 35?

    LCM of 7, 20 and 35 is 140

    How to find the LCM of 7, 20 and 35 by prime factorization?

    Take every prime that appears in 7, 20 and 35 to the highest power it reaches in any one of them and multiply: 2² × 5 × 7 = 140.

    Can you get the LCM of 7, 20 and 35 two numbers at a time?

    Yes. The LCM of 7 and 20 is 140, and the LCM of 140 and 35 is 140 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 140 divisible by 7, 20 and 35?

    Yes, and by definition it is the smallest positive integer that is: 140 ÷ 7, 140 ÷ 20 and 140 ÷ 35 all come out whole. Any other common multiple of 7, 20 and 35 is a multiple of 140.

    See Also