LCM for 35, 175 and 245

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
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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

(One thousand two hundred twenty-five)

1,225 is the smallest positive integer that 35, 175 and 245 all divide without a remainder — every other common multiple of the three is a multiple of it.

Finding the LCM of 35, 175 and 245 by Prime Factorization

Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

All Prime Factors of 35: 5 × 7 (exponent form: 5 × 7)

All Prime Factors of 175: 5 × 5 × 7 (exponent form: 52 × 7)

All Prime Factors of 245: 5 × 7 × 7 (exponent form: 5 × 72)

Prime factor35175245Highest power
5552552
7777272

LCM = 52 × 72 = 1,225

Checking the LCM of 35, 175 and 245 Two Numbers at a Time

The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

LCM(a, b) = (a × b) ÷ GCD(a, b)

LCM(35, 175) = (35 × 175) ÷ 35 = 6,125 ÷ 35 = 175

LCM(175, 245) = (175 × 245) ÷ 35 = 42,875 ÷ 35 = 1,225

LCM(35, 175, 245) = 1,225

The pairs may be taken in any order — 175 and 245 first, then 35 — and the answer is the same 1,225. That is exactly why the two routes on this page agree.

Related Calculations

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About "Least Common Multiple of 3 Numbers" Calculator

This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 35, 175 and 245? (The answer is: 1,225). Enter the first number (e.g. '35'), the second (e.g. '175') and the third (e.g. '245'), then hit the 'Calculate' button.
The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

LCM Table

Number 1Number 2Number 3LCM
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, and it is the check this page prints. 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