What is the LCM of 40 and 150?

What's the Least Common Multiple (LCM) of 40 and 150?

Answer

LCM of 40 and 150 is

600

First common multiples: 600; 1,200; 1,800; …

600 is divisible by both: 600 ÷ 40 = 15, 600 ÷ 150 = 4 — and 15 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 15 and of y/150 by 4.

40 = 2³ × 5

150 = 2 × 3 × 5²

Prime	40	150	Highest power
2	2³	2	2³
3	—	3	3
5	5	5²	5²

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

LCM = 2³ × 3 × 5² = 600

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What is the LCM of 40 and 150? The LCM of 40 and 150 is 600 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/40--150/generated.jpg

LCM Table

Number 1	Number 2	LCM
40	64	320
40	65	520
40	66	1,320
40	70	280
40	72	360
40	80	80
40	84	840
40	85	680
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

LCM for 40 and 150

What's the Least Common Multiple (LCM) of 40 and 150?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 40 and 150?

How to find the LCM of 40 and 150 using prime factorization?

What is the difference between LCM and GCF?

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