LCM for 10, 14 and 25

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What's the Least Common Multiple (LCM) of 10, 14 and 25?

Answer

LCM of 10, 14 and 25 is
350

First common multiples: 350; 700; 1,050; …

350 is divisible by all three: 350 ÷ 10 = 35, 350 ÷ 14 = 25, 350 ÷ 25 = 14 — and 35, 25 and 14 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 35 and of y/14 by 25 and of z/25 by 14.

10 = 2 × 5

14 = 2 × 7

25 = 52

Prime101425Highest power
222—2
55—5252
7—7—7

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

LCM = 2 × 52 × 7 = 350

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LCM Table

1st2nd3rdLCM
10101470
101114770
101214420
101314910
10141470
101415210
101416560
1014171,190
101418630
1014191,330
101420140
101421210
101422770
1014231,610
101424840
101425350
101426910
1014271,890
101428140
1014292,030
101430210
1014312,170
1014321,120
1014332,310
1014341,190
10143570
1014361,260
1014372,590
1014381,330
1014392,730

FAQ

What's the Least Common Multiple (LCM) of 10, 14 and 25?

LCM of 10, 14 and 25 is 350

How to find the LCM of 10, 14 and 25 by prime factorization?

Take every prime that appears in 10, 14 and 25 to the highest power it reaches in any one of them and multiply: 2 × 5² × 7 = 350.

Can you get the LCM of 10, 14 and 25 two numbers at a time?

Yes. The LCM of 10 and 14 is 70, and the LCM of 70 and 25 is 350 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 350 divisible by 10, 14 and 25?

Yes, and by definition it is the smallest positive integer that is: 350 ÷ 10, 350 ÷ 14 and 350 ÷ 25 all come out whole. Any other common multiple of 10, 14 and 25 is a multiple of 350.

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