LCM for 15, 25 and 100

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 15, 25 and 100?

Answer

LCM of 15, 25 and 100 is
300

First common multiples: 300, 600, 900, …

300 is divisible by all three: 300 ÷ 15 = 20, 300 ÷ 25 = 12, 300 ÷ 100 = 3 — and 20, 12 and 3 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/15 by 20 and of y/25 by 12 and of z/100 by 3.

15 = 3 × 5

25 = 52

100 = 22 × 52

Prime1525100Highest power
2——2222
33——3
55525252

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

LCM = 22 × 3 × 52 = 300

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
1525851,275
1525866,450
1525872,175
1525886,600
1525896,675
152590450
1525916,825
1525926,900
1525932,325
1525947,050
1525951,425
1525962,400
1525977,275
1525987,350
1525992,475
1525100300
15251017,575
15251022,550
15251037,725
15251047,800
1525105525
15251067,950
15251078,025
15251082,700
15251098,175
15251101,650
15251112,775
15251128,400
15251138,475
15251142,850

FAQ

What's the Least Common Multiple (LCM) of 15, 25 and 100?

LCM of 15, 25 and 100 is 300

How to find the LCM of 15, 25 and 100 by prime factorization?

Take every prime that appears in 15, 25 and 100 to the highest power it reaches in any one of them and multiply: 2² × 3 × 5² = 300.

Can you get the LCM of 15, 25 and 100 two numbers at a time?

Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 100 is 300 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 300 divisible by 15, 25 and 100?

Yes, and by definition it is the smallest positive integer that is: 300 ÷ 15, 300 ÷ 25 and 300 ÷ 100 all come out whole. Any other common multiple of 15, 25 and 100 is a multiple of 300.

See Also