LCM for 15, 175 and 225

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What's the Least Common Multiple (LCM) of 15, 175 and 225?

Answer

LCM of 15, 175 and 225 is
1,575

First common multiples: 1,575; 3,150; 4,725; …

1,575 is divisible by all three: 1,575 ÷ 15 = 105; 1,575 ÷ 175 = 9; 1,575 ÷ 225 = 7 — and 105, 9 and 7 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/15 by 105 and of y/175 by 9 and of z/225 by 7.

15 = 3 × 5

175 = 52 × 7

225 = 32 × 52

Prime15175225Highest power
33—3232
55525252
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 = 32 × 52 × 7 = 1,575

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
151752101,050
15175211110,775
15175212111,300
1517521337,275
15175214112,350
1517521522,575
1517521637,800
1517521716,275
15175218114,450
1517521938,325
1517522023,100
15175221116,025
1517522238,850
15175223117,075
1517522416,800
151752251,575
15175226118,650
15175227119,175
1517522839,900
15175229120,225
1517523024,150
151752315,775
15175232121,800
15175233122,325
1517523440,950
1517523524,675
15175236123,900
1517523741,475
1517523817,850
15175239125,475

FAQ

What's the Least Common Multiple (LCM) of 15, 175 and 225?

LCM of 15, 175 and 225 is 1,575

How to find the LCM of 15, 175 and 225 by prime factorization?

Take every prime that appears in 15, 175 and 225 to the highest power it reaches in any one of them and multiply: 3² × 5² × 7 = 1,575.

Can you get the LCM of 15, 175 and 225 two numbers at a time?

Yes. The LCM of 15 and 175 is 525, and the LCM of 525 and 225 is 1,575 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 1,575 divisible by 15, 175 and 225?

Yes, and by definition it is the smallest positive integer that is: 1,575 ÷ 15, 1,575 ÷ 175 and 1,575 ÷ 225 all come out whole. Any other common multiple of 15, 175 and 225 is a multiple of 1,575.

See Also