What is the LCM of 45, 120 and 525?

What's the Least Common Multiple (LCM) of 45, 120 and 525?

Answer

LCM of 45, 120 and 525 is

12,600

First common multiples: 12,600; 25,200; 37,800; …

12,600 is divisible by all three: 12,600 ÷ 45 = 280; 12,600 ÷ 120 = 105; 12,600 ÷ 525 = 24 — and 280, 105 and 24 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/45 by 280 and of y/120 by 105 and of z/525 by 24.

45 = 3² × 5

120 = 2³ × 3 × 5

525 = 3 × 5² × 7

Prime	45	120	525	Highest power
2	—	2³	—	2³
3	3²	3	3	3²
5	5	5	5²	5²
7	—	—	7	7

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

LCM = 2³ × 3² × 5² × 7 = 12,600

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
45	120	510	6,120
45	120	511	183,960
45	120	512	23,040
45	120	513	20,520
45	120	514	92,520
45	120	515	37,080
45	120	516	15,480
45	120	517	186,120
45	120	518	93,240
45	120	519	62,280
45	120	520	4,680
45	120	521	187,560
45	120	522	10,440
45	120	523	188,280
45	120	524	47,160
45	120	525	12,600
45	120	526	94,680
45	120	527	189,720
45	120	528	7,920
45	120	529	190,440
45	120	530	19,080
45	120	531	21,240
45	120	532	47,880
45	120	533	191,880
45	120	534	32,040
45	120	535	38,520
45	120	536	24,120
45	120	537	64,440
45	120	538	96,840
45	120	539	194,040

LCM for 45, 120 and 525

What's the Least Common Multiple (LCM) of 45, 120 and 525?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 45, 120 and 525?

How to find the LCM of 45, 120 and 525 by prime factorization?

Can you get the LCM of 45, 120 and 525 two numbers at a time?

Is 12,600 divisible by 45, 120 and 525?

See Also