What is the LCM of 40 and 250?

What's the Least Common Multiple (LCM) of 40 and 250?

Answer

LCM of 40 and 250 is

1,000

First common multiples: 1,000; 2,000; 3,000; …

1,000 is divisible by both: 1,000 ÷ 40 = 25; 1,000 ÷ 250 = 4 — and 25 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 25 and of y/250 by 4.

40 = 2³ × 5

250 = 2 × 5³

Prime	40	250	Highest power
2	2³	2	2³
5	5	5³	5³

LCM = 2³ × 5³ = 1,000

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What is the LCM of 40 and 250? The LCM of 40 and 250 is 1,000 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/40--250/generated.jpg

LCM Table

Number 1	Number 2	LCM
40	90	360
40	96	480
40	100	200
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	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

LCM for 40 and 250

What's the Least Common Multiple (LCM) of 40 and 250?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 40 and 250?

How to find the LCM of 40 and 250 using prime factorization?

What is the difference between LCM and GCF?

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