LCM for 10, 25 and 50

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What's the Least Common Multiple (LCM) of 10, 25 and 50?

Answer

LCM of 10, 25 and 50 is
50

First common multiples: 50, 100, 150, …

50 is divisible by all three: 50 ÷ 10 = 5, 50 ÷ 25 = 2, 50 ÷ 50 = 1 — and 5, 2 and 1 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 5 and of y/25 by 2.

10 = 2 × 5

25 = 52

50 = 2 × 52

Prime102550Highest power
22—22
55525252

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

LCM = 2 × 52 = 50

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LCM Table

1st2nd3rdLCM
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
102555550
1025561,400
1025572,850
1025581,450
1025592,950
102560300
1025613,050
1025621,550
1025633,150
1025641,600

FAQ

What's the Least Common Multiple (LCM) of 10, 25 and 50?

LCM of 10, 25 and 50 is 50

How to find the LCM of 10, 25 and 50 by prime factorization?

Take every prime that appears in 10, 25 and 50 to the highest power it reaches in any one of them and multiply: 2 × 5² = 50.

Can you get the LCM of 10, 25 and 50 two numbers at a time?

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

Is 50 divisible by 10, 25 and 50?

Yes, and by definition it is the smallest positive integer that is: 50 ÷ 10, 50 ÷ 25 and 50 ÷ 50 all come out whole. Any other common multiple of 10, 25 and 50 is a multiple of 50.

See Also