LCM for 25, 50 and 75

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

What's the Least Common Multiple (LCM) of 25, 50 and 75?

Answer

LCM of 25, 50 and 75 is
150

First common multiples: 150, 300, 450, …

150 is divisible by all three: 150 ÷ 25 = 6, 150 ÷ 50 = 3, 150 ÷ 75 = 2 — and 6, 3 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/25 by 6 and of y/50 by 3 and of z/75 by 2.

25 = 52

50 = 2 × 52

75 = 3 × 52

Prime255075Highest power
2—2—2
3——33
552525252

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

LCM = 2 × 3 × 52 = 150

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
255060300
2550613,050
2550621,550
2550633,150
2550641,600
255065650
2550661,650
2550673,350
2550681,700
2550693,450
255070350
2550713,550
2550721,800
2550733,650
2550741,850
255075150
2550761,900
2550773,850
2550781,950
2550793,950
255080400
2550814,050
2550822,050
2550834,150
2550842,100
255085850
2550862,150
2550874,350
2550882,200
2550894,450

FAQ

What's the Least Common Multiple (LCM) of 25, 50 and 75?

LCM of 25, 50 and 75 is 150

How to find the LCM of 25, 50 and 75 by prime factorization?

Take every prime that appears in 25, 50 and 75 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

Can you get the LCM of 25, 50 and 75 two numbers at a time?

Yes. The LCM of 25 and 50 is 50, and the LCM of 50 and 75 is 150 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 150 divisible by 25, 50 and 75?

Yes, and by definition it is the smallest positive integer that is: 150 ÷ 25, 150 ÷ 50 and 150 ÷ 75 all come out whole. Any other common multiple of 25, 50 and 75 is a multiple of 150.

See Also