LCM for 175 and 245

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

Answer

LCM of 175 and 245 is
1,225

(One thousand two hundred twenty-five)

Finding LCM for 175 and 245 using GCF of these numbers

The first method to find LCM for numbers 175 and 245 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 175 and 245 is 35, so

LCM = (175 × 245) ÷ 35

LCM = 42,875 ÷ 35

LCM = 1,225

Finding LCM for 175 and 245 by Listing Multiples

The second method to find LCM for numbers 175 and 245 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 175: 175, 350, 525, 700, 875, 1,050, 1,225, 1,400, 1,575

Multiples of 245: 245, 490, 735, 980, 1,225, 1,470, 1,715

So the LCM for 175 and 245 is 1,225

Finding LCM for 175 and 245 by Prime Factorization

Another method to find LCM for numbers 175 and 245 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)

All Prime Factors of 245: 5, 7, 7 (exponent form: 51, 72)

52 × 72 = 1,225

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 175 and 245? (The answer is: 1,225). Select the first number (e.g. '175') and the second number (e.g. '245'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
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LCM Table

Number 1Number 2LCM
1752308,050
1752315,775
17523240,600
17523340,775
17523440,950
1752358,225
17523641,300
17523741,475
1752385,950
17523941,825
1752408,400
17524142,175
17524242,350
17524342,525
17524442,700
1752451,225
17524643,050
17524743,225
17524843,400
17524943,575
1752501,750
17525143,925
1752526,300
17525344,275
17525444,450
1752558,925
17525644,800
17525744,975
17525845,150
1752596,475

FAQ

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

LCM of 175 and 245 is 1,225

How to find the LCM of 175 and 245 using prime factorization?

To find the LCM of 175 and 245, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,225.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 175 and 245: LCM = 1,225, GCF = 35.

See Also