LCM for 35, 175 and 245

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What's the Least Common Multiple (LCM) of 35, 175 and 245?

Answer

LCM of 35, 175 and 245 is
1,225

First common multiples: 1,225; 2,450; 3,675; …

1,225 is divisible by all three: 1,225 ÷ 35 = 35; 1,225 ÷ 175 = 7; 1,225 ÷ 245 = 5 — and 35, 7 and 5 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/35 by 35 and of y/175 by 7 and of z/245 by 5.

35 = 5 × 7

175 = 52 × 7

245 = 5 × 72

Prime35175245Highest power
5552552
7777272

LCM = 52 × 72 = 1,225

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LCM Table

1st2nd3rdLCM
351752308,050
351752315,775
3517523240,600
3517523340,775
3517523440,950
351752358,225
3517523641,300
3517523741,475
351752385,950
3517523941,825
351752408,400
3517524142,175
3517524242,350
3517524342,525
3517524442,700
351752451,225
3517524643,050
3517524743,225
3517524843,400
3517524943,575
351752501,750
3517525143,925
351752526,300
3517525344,275
3517525444,450
351752558,925
3517525644,800
3517525744,975
3517525845,150
351752596,475

FAQ

What's the Least Common Multiple (LCM) of 35, 175 and 245?

LCM of 35, 175 and 245 is 1,225

How to find the LCM of 35, 175 and 245 by prime factorization?

Take every prime that appears in 35, 175 and 245 to the highest power it reaches in any one of them and multiply: 5² × 7² = 1,225.

Can you get the LCM of 35, 175 and 245 two numbers at a time?

Yes. The LCM of 35 and 175 is 175, and the LCM of 175 and 245 is 1,225 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 1,225 divisible by 35, 175 and 245?

Yes, and by definition it is the smallest positive integer that is: 1,225 ÷ 35, 1,225 ÷ 175 and 1,225 ÷ 245 all come out whole. Any other common multiple of 35, 175 and 245 is a multiple of 1,225.

See Also