LCM for 50, 75 and 125

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What's the Least Common Multiple (LCM) of 50, 75 and 125?

Answer

LCM of 50, 75 and 125 is
750

First common multiples: 750; 1,500; 2,250; …

750 is divisible by all three: 750 ÷ 50 = 15, 750 ÷ 75 = 10, 750 ÷ 125 = 6 — and 15, 10 and 6 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/50 by 15 and of y/75 by 10 and of z/125 by 6.

50 = 2 × 52

75 = 3 × 52

125 = 53

Prime5075125Highest power
22——2
3—3—3
552525353

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

LCM = 2 × 3 × 53 = 750

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LCM Table

1st2nd3rdLCM
50751101,650
50751115,550
50751128,400
507511316,950
50751142,850
50751153,450
50751168,700
50751175,850
50751188,850
507511917,850
5075120600
507512118,150
50751229,150
50751236,150
50751249,300
5075125750
50751263,150
507512719,050
50751289,600
50751296,450
50751301,950
507513119,650
50751323,300
507513319,950
507513410,050
50751351,350
507513610,200
507513720,550
50751383,450
507513920,850

FAQ

What's the Least Common Multiple (LCM) of 50, 75 and 125?

LCM of 50, 75 and 125 is 750

How to find the LCM of 50, 75 and 125 by prime factorization?

Take every prime that appears in 50, 75 and 125 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5³ = 750.

Can you get the LCM of 50, 75 and 125 two numbers at a time?

Yes. The LCM of 50 and 75 is 150, and the LCM of 150 and 125 is 750 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 750 divisible by 50, 75 and 125?

Yes, and by definition it is the smallest positive integer that is: 750 ÷ 50, 750 ÷ 75 and 750 ÷ 125 all come out whole. Any other common multiple of 50, 75 and 125 is a multiple of 750.

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