LCM for 10, 25 and 40

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

What's the Least Common Multiple (LCM) of 10, 25 and 40?

Answer

LCM of 10, 25 and 40 is
200

First common multiples: 200, 400, 600, …

200 is divisible by all three: 200 ÷ 10 = 20, 200 ÷ 25 = 8, 200 ÷ 40 = 5 — and 20, 8 and 5 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 20 and of y/25 by 8 and of z/40 by 5.

10 = 2 × 5

25 = 52

40 = 23 × 5

Prime102540Highest power
22—2323
5552552

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

LCM = 23 × 52 = 200

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
10252550
102526650
1025271,350
102528700
1025291,450
102530150
1025311,550
102532800
1025331,650
102534850
102535350
102536900
1025371,850
102538950
1025391,950
102540200
1025412,050
1025421,050
1025432,150
1025441,100
102545450
1025461,150
1025472,350
1025481,200
1025492,450
10255050
1025512,550
1025521,300
1025532,650
1025541,350

FAQ

What's the Least Common Multiple (LCM) of 10, 25 and 40?

LCM of 10, 25 and 40 is 200

How to find the LCM of 10, 25 and 40 by prime factorization?

Take every prime that appears in 10, 25 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 5² = 200.

Can you get the LCM of 10, 25 and 40 two numbers at a time?

Yes. The LCM of 10 and 25 is 50, and the LCM of 50 and 40 is 200 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 200 divisible by 10, 25 and 40?

Yes, and by definition it is the smallest positive integer that is: 200 ÷ 10, 200 ÷ 25 and 200 ÷ 40 all come out whole. Any other common multiple of 10, 25 and 40 is a multiple of 200.

See Also