Least Common Multiple of 8337/57, 8654/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8337/57, 8654/584 quickly i.e. 72148398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8337/57, 8654/584 is 72148398.

LCM(8337/57, 8654/584) = 72148398

LCM of 8337/57, 8654/584

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 8337/57,8654/584

Given numbers are 8337/57,8654/584

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 8337,8654

Least Common Multiple of Numerators i.e. LCM of 8337,8654 is 72148398.

GCF of Denominators means GCF of 57,584 as per the given fractions.

GCF of 57,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8337,8654

LCM of Fractions 8337/57,8654/584 is 72148398

Given numbers has no common factors except 1. So, there LCM is their product i.e 72148398

Least Common Multiple of 8337,8654 with GCF Formula

Least Common Multiple of 8337,8654 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 8337,8654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8337,8654) = 1

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

GCF(8337,8654) x common factors =1 x 1 = 1

LCM(8337,8654) = ( 8337 × 8654 ) / 1

LCM(8337,8654) = 72148398 / 1

LCM(8337,8654) = 72148398


Lets's calculate GCF of 57,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72148398/1

Therefore the LCM of Fractions 8337/57,8654/584 is 72148398

Greatest Common Factor of 57,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,584 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 57,584 . The biggest common factor number is the GCF number.
So the greatest common factor 57,584 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8337/57, 8654/584

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 8337/57, 8654/584?

Answer: LCM of Numerators as per given numbers 8337/57, 8654/584 is

LCM of Numerators i.e. for 8337,8654 is 72148398

GCF of denominators i.e. for 57,584 is 1.

Thus, LCM of Fractions is 72148398.Finally, LCM of Fractions for 8337/57, 8654/584 is 72148398.