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    LCM for 280, 360 and 840

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

    What's the Least Common Multiple (LCM) of 280, 360 and 840?

    Answer

    LCM of 280, 360 and 840 is
    2,520

    First common multiples: 2,520; 5,040; 7,560; …

    2,520 is divisible by all three: 2,520 ÷ 280 = 9; 2,520 ÷ 360 = 7; 2,520 ÷ 840 = 3 — and 9, 7 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/280 by 9 and of y/360 by 7 and of z/840 by 3.

    280 = 23 × 5 × 7

    360 = 23 × 32 × 5

    840 = 23 × 3 × 5 × 7

    Prime280360840Highest power
    223232323
    3—32332
    55555
    77—77

    — = 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 × 7 = 2,520

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    What is the LCM of 280, 360 and 840? The LCM of 280, 360 and 840 is 2,520 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
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    LCM Table

    1st2nd3rdLCM
    280360825138,600
    280360826148,680
    2803608272,084,040
    28036082857,960
    2803608292,089,080
    280360830209,160
    280360831698,040
    280360832262,080
    280360833299,880
    280360834350,280
    280360835420,840
    280360836526,680
    280360837234,360
    2803608381,055,880
    2803608392,114,280
    2803608402,520
    2803608412,119,320
    2803608421,060,920
    280360843708,120
    280360844531,720
    280360845425,880
    280360846118,440
    280360847304,920
    280360848267,120
    280360849713,160
    280360850214,200
    2803608512,144,520
    280360852178,920
    2803608532,149,560
    280360854153,720

    FAQ

    What's the Least Common Multiple (LCM) of 280, 360 and 840?

    LCM of 280, 360 and 840 is 2,520

    How to find the LCM of 280, 360 and 840 by prime factorization?

    Take every prime that appears in 280, 360 and 840 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 5 × 7 = 2,520.

    Can you get the LCM of 280, 360 and 840 two numbers at a time?

    Yes. The LCM of 280 and 360 is 2,520, and the LCM of 2,520 and 840 is 2,520 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 2,520 divisible by 280, 360 and 840?

    Yes, and by definition it is the smallest positive integer that is: 2,520 ÷ 280, 2,520 ÷ 360 and 2,520 ÷ 840 all come out whole. Any other common multiple of 280, 360 and 840 is a multiple of 2,520.

    See Also