LCM for 25, 45 and 50

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What's the Least Common Multiple (LCM) of 25, 45 and 50?

Answer

LCM of 25, 45 and 50 is
450

First common multiples: 450; 900; 1,350; …

450 is divisible by all three: 450 ÷ 25 = 18, 450 ÷ 45 = 10, 450 ÷ 50 = 9 — and 18, 10 and 9 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 18 and of y/45 by 10 and of z/50 by 9.

25 = 52

45 = 32 × 5

50 = 2 × 52

Prime254550Highest power
2——22
3—32—32
55255252

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

LCM = 2 × 32 × 52 = 450

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LCM Table

1st2nd3rdLCM
2535451,575
253645900
2537458,325
2538458,550
2539452,925
2540451,800
2541459,225
2542453,150
2543459,675
2544459,900
254545225
25454610,350
25454710,575
2545483,600
25454911,025
254550450
2545513,825
25455211,700
25455311,925
2545541,350
2545552,475
25455612,600
2545574,275
25455813,050
25455913,275
254560900
25456113,725
25456213,950
2545631,575
25456414,400

FAQ

What's the Least Common Multiple (LCM) of 25, 45 and 50?

LCM of 25, 45 and 50 is 450

How to find the LCM of 25, 45 and 50 by prime factorization?

Take every prime that appears in 25, 45 and 50 to the highest power it reaches in any one of them and multiply: 2 × 3² × 5² = 450.

Can you get the LCM of 25, 45 and 50 two numbers at a time?

Yes. The LCM of 25 and 45 is 225, and the LCM of 225 and 50 is 450 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 450 divisible by 25, 45 and 50?

Yes, and by definition it is the smallest positive integer that is: 450 ÷ 25, 450 ÷ 45 and 450 ÷ 50 all come out whole. Any other common multiple of 25, 45 and 50 is a multiple of 450.

See Also