Least Common Multiple of 8564/482, 7331/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8564/482, 7331/175 quickly i.e. 62782684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8564/482, 7331/175 is 62782684.

LCM(8564/482, 7331/175) = 62782684

LCM of 8564/482, 7331/175

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 8564/482,7331/175

Given numbers are 8564/482,7331/175

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 8564,7331

Least Common Multiple of Numerators i.e. LCM of 8564,7331 is 62782684.

GCF of Denominators means GCF of 482,175 as per the given fractions.

GCF of 482,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8564,7331

LCM of Fractions 8564/482,7331/175 is 62782684

Given numbers has no common factors except 1. So, there LCM is their product i.e 62782684

Least Common Multiple of 8564,7331 with GCF Formula

Least Common Multiple of 8564,7331 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 8564,7331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8564,7331) = 1

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

GCF(8564,7331) x common factors =1 x 1 = 1

LCM(8564,7331) = ( 8564 × 7331 ) / 1

LCM(8564,7331) = 62782684 / 1

LCM(8564,7331) = 62782684


Lets's calculate GCF of 482,175

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62782684/1

Therefore the LCM of Fractions 8564/482,7331/175 is 62782684

Greatest Common Factor of 482,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,175 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

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 482,175 . The biggest common factor number is the GCF number.
So the greatest common factor 482,175 is 1.


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 8564/482, 7331/175

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 8564/482, 7331/175?

Answer: LCM of Numerators as per given numbers 8564/482, 7331/175 is

LCM of Numerators i.e. for 8564,7331 is 62782684

GCF of denominators i.e. for 482,175 is 1.

Thus, LCM of Fractions is 62782684.Finally, LCM of Fractions for 8564/482, 7331/175 is 62782684.