LCM for 280, 360 and 840

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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

Related Calculations

See Also

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