LCM for 25, 40 and 50

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What's the Least Common Multiple (LCM) of 25, 40 and 50?

Answer

LCM of 25, 40 and 50 is
200

First common multiples: 200, 400, 600, …

200 is divisible by all three: 200 ÷ 25 = 8, 200 ÷ 40 = 5, 200 ÷ 50 = 4 — and 8, 5 and 4 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 8 and of y/40 by 5 and of z/50 by 4.

25 = 52

40 = 23 × 5

50 = 2 × 52

Prime254050Highest power
2—23223
55255252

— = 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

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LCM Table

1st2nd3rdLCM
2535401,400
2536401,800
2537407,400
2538403,800
2539407,800
254040200
2540418,200
2540424,200
2540438,600
2540442,200
2540451,800
2540464,600
2540479,400
2540481,200
2540499,800
254050200
25405110,200
2540522,600
25405310,600
2540545,400
2540552,200
2540561,400
25405711,400
2540585,800
25405911,800
254060600
25406112,200
2540626,200
25406312,600
2540641,600

FAQ

What's the Least Common Multiple (LCM) of 25, 40 and 50?

LCM of 25, 40 and 50 is 200

How to find the LCM of 25, 40 and 50 by prime factorization?

Take every prime that appears in 25, 40 and 50 to the highest power it reaches in any one of them and multiply: 2³ × 5² = 200.

Can you get the LCM of 25, 40 and 50 two numbers at a time?

Yes. The LCM of 25 and 40 is 200, and the LCM of 200 and 50 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 25, 40 and 50?

Yes, and by definition it is the smallest positive integer that is: 200 ÷ 25, 200 ÷ 40 and 200 ÷ 50 all come out whole. Any other common multiple of 25, 40 and 50 is a multiple of 200.

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