Least Common Multiple of 425/574, 8617/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 425/574, 8617/175 quickly i.e. 523175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/574, 8617/175 is 523175.

LCM(425/574, 8617/175) = 523175

LCM of 425/574, 8617/175

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 425/574,8617/175

Given numbers are 425/574,8617/175

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 425,8617

Least Common Multiple of Numerators i.e. LCM of 425,8617 is 3662225.

GCF of Denominators means GCF of 574,175 as per the given fractions.

GCF of 574,175 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,8617

LCM of Fractions 425/574,8617/175 is 523175

Given numbers has no common factors except 1. So, there LCM is their product i.e 3662225

Least Common Multiple of 425,8617 with GCF Formula

Least Common Multiple of 425,8617 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 425,8617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,8617) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(425,8617) x common factors =1 x 1 = 1

LCM(425,8617) = ( 425 × 8617 ) / 1

LCM(425,8617) = 3662225 / 1

LCM(425,8617) = 3662225


Lets's calculate GCF of 574,175

7 574, 175
82, 25

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3662225/7

Therefore the LCM of Fractions 425/574,8617/175 is 523175

Greatest Common Factor of 574,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,175 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 574,175 . The biggest common factor number is the GCF number.
So the greatest common factor 574,175 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 425/574, 8617/175

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 425/574, 8617/175?

Answer: LCM of Numerators as per given numbers 425/574, 8617/175 is

LCM of Numerators i.e. for 425,8617 is 3662225

GCF of denominators i.e. for 574,175 is 7.

Thus, LCM of Fractions is 523175.Finally, LCM of Fractions for 425/574, 8617/175 is 523175.