LCM for 10, 17 and 26

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What's the Least Common Multiple (LCM) of 10, 17 and 26?

Answer

LCM of 10, 17 and 26 is
2,210

First common multiples: 2,210; 4,420; 6,630; …

2,210 is divisible by all three: 2,210 ÷ 10 = 221; 2,210 ÷ 17 = 130; 2,210 ÷ 26 = 85 — and 221, 130 and 85 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 221 and of y/17 by 130 and of z/26 by 85.

10 = 2 × 5

17 — prime

26 = 2 × 13

Prime101726Highest power
22—22
55——5
13——1313
17—17—17

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

LCM = 2 × 5 × 13 × 17 = 2,210

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
1011171,870
1012171,020
1013172,210
1014171,190
101517510
1016171,360
101717170
1017181,530
1017193,230
101720340
1017213,570
1017221,870
1017233,910
1017242,040
101725850
1017262,210
1017274,590
1017282,380
1017294,930
101730510
1017315,270
1017322,720
1017335,610
101734170
1017351,190
1017363,060
1017376,290
1017383,230
1017396,630
101740680

FAQ

What's the Least Common Multiple (LCM) of 10, 17 and 26?

LCM of 10, 17 and 26 is 2,210

How to find the LCM of 10, 17 and 26 by prime factorization?

Take every prime that appears in 10, 17 and 26 to the highest power it reaches in any one of them and multiply: 2 × 5 × 13 × 17 = 2,210.

Can you get the LCM of 10, 17 and 26 two numbers at a time?

Yes. The LCM of 10 and 17 is 170, and the LCM of 170 and 26 is 2,210 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 2,210 divisible by 10, 17 and 26?

Yes, and by definition it is the smallest positive integer that is: 2,210 ÷ 10, 2,210 ÷ 17 and 2,210 ÷ 26 all come out whole. Any other common multiple of 10, 17 and 26 is a multiple of 2,210.

See Also