What is the LCM of 40 and 460?

What's the Least Common Multiple (LCM) of 40 and 460?

Answer

LCM of 40 and 460 is

920

First common multiples: 920; 1,840; 2,760; …

920 is divisible by both: 920 ÷ 40 = 23, 920 ÷ 460 = 2 — and 23 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 23 and of y/460 by 2.

40 = 2³ × 5

460 = 2² × 5 × 23

Prime	40	460	Highest power
2	2³	2²	2³
5	5	5	5
23	—	23	23

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

LCM = 2³ × 5 × 23 = 920

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What is the LCM of 40 and 460? The LCM of 40 and 460 is 920 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/40--460/generated.jpg

LCM Table

Number 1	Number 2	LCM
40	115	920
40	120	120
40	125	1,000
40	144	720
40	150	600
40	155	1,240
40	160	160
40	180	360
40	195	1,560
40	220	440
40	225	1,800
40	230	920
40	250	1,000
40	255	2,040
40	260	520
40	265	2,120
40	290	1,160
40	295	2,360
40	300	600
40	315	2,520
40	320	320
40	330	1,320
40	355	2,840
40	370	1,480
40	380	760
40	395	3,160
40	415	3,320
40	460	920
40	465	3,720
40	480	480

LCM for 40 and 460

What's the Least Common Multiple (LCM) of 40 and 460?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 40 and 460?

How to find the LCM of 40 and 460 using prime factorization?

What is the difference between LCM and GCF?

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