What is the LCM of 10, 15 and 45?

What's the Least Common Multiple (LCM) of 10, 15 and 45?

Answer

LCM of 10, 15 and 45 is

90

First common multiples: 90, 180, 270, …

90 is divisible by all three: 90 ÷ 10 = 9, 90 ÷ 15 = 6, 90 ÷ 45 = 2 — and 9, 6 and 2 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/10 by 9 and of y/15 by 6 and of z/45 by 2.

10 = 2 × 5

15 = 3 × 5

45 = 3² × 5

Prime	10	15	45	Highest power
2	2	—	—	2
3	—	3	3²	3²
5	5	5	5	5

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

LCM = 2 × 3² × 5 = 90

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Related Calculations

LCM Table

1st	2nd	3rd	LCM
10	15	30	30
10	15	31	930
10	15	32	480
10	15	33	330
10	15	34	510
10	15	35	210
10	15	36	180
10	15	37	1,110
10	15	38	570
10	15	39	390
10	15	40	120
10	15	41	1,230
10	15	42	210
10	15	43	1,290
10	15	44	660
10	15	45	90
10	15	46	690
10	15	47	1,410
10	15	48	240
10	15	49	1,470
10	15	50	150
10	15	51	510
10	15	52	780
10	15	53	1,590
10	15	54	270
10	15	55	330
10	15	56	840
10	15	57	570
10	15	58	870
10	15	59	1,770

LCM for 10, 15 and 45

What's the Least Common Multiple (LCM) of 10, 15 and 45?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 15 and 45?

How to find the LCM of 10, 15 and 45 by prime factorization?

Can you get the LCM of 10, 15 and 45 two numbers at a time?

Is 90 divisible by 10, 15 and 45?

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