LCM for 25, 50 and 100

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What's the Least Common Multiple (LCM) of 25, 50 and 100?

Answer

LCM of 25, 50 and 100 is
100

First common multiples: 100, 200, 300, …

100 is divisible by all three: 100 ÷ 25 = 4, 100 ÷ 50 = 2, 100 ÷ 100 = 1 — and 4, 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/25 by 4 and of y/50 by 2.

25 = 52

50 = 2 × 52

100 = 22 × 52

Prime2550100Highest power
2—22222
552525252

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

LCM = 22 × 52 = 100

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LCM Table

1st2nd3rdLCM
255085850
2550862,150
2550874,350
2550882,200
2550894,450
255090450
2550914,550
2550922,300
2550934,650
2550942,350
255095950
2550962,400
2550974,850
2550982,450
2550994,950
2550100100
25501015,050
25501022,550
25501035,150
25501042,600
25501051,050
25501062,650
25501075,350
25501082,700
25501095,450
2550110550
25501115,550
25501122,800
25501135,650
25501142,850

FAQ

What's the Least Common Multiple (LCM) of 25, 50 and 100?

LCM of 25, 50 and 100 is 100

How to find the LCM of 25, 50 and 100 by prime factorization?

Take every prime that appears in 25, 50 and 100 to the highest power it reaches in any one of them and multiply: 2² × 5² = 100.

Can you get the LCM of 25, 50 and 100 two numbers at a time?

Yes. The LCM of 25 and 50 is 50, and the LCM of 50 and 100 is 100 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 100 divisible by 25, 50 and 100?

Yes, and by definition it is the smallest positive integer that is: 100 ÷ 25, 100 ÷ 50 and 100 ÷ 100 all come out whole. Any other common multiple of 25, 50 and 100 is a multiple of 100.

See Also