Least Common Multiple of 29/337, 497/564, 642/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/337, 497/564, 642/584 quickly i.e. 9253146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/337, 497/564, 642/584 is 9253146.

LCM(29/337, 497/564, 642/584) = 9253146

LCM of 29/337, 497/564, 642/584

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 29/337,497/564,642/584

Given numbers are 29/337,497/564,642/584

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 29,497,642

Least Common Multiple of Numerators i.e. LCM of 29,497,642 is 9253146.

GCF of Denominators means GCF of 337,564,584 as per the given fractions.

GCF of 337,564,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,497,642

LCM of Fractions 29/337,497/564,642/584 is 9253146

Given numbers has no common factors except 1. So, there LCM is their product i.e 9253146

Least Common Multiple of 29,497,642 with GCF Formula

Least Common Multiple of 29,497,642 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 29,497,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,497,642) = 1

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

GCF(29,497,642) x common factors =1 x 1 = 1

LCM(29,497,642) = ( 29 × 497 × 642 ) / 1

LCM(29,497,642) = 9253146 / 1

LCM(29,497,642) = 9253146


Lets's calculate GCF of 337,564,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9253146/1

Therefore the LCM of Fractions 29/337,497/564,642/584 is 9253146

Greatest Common Factor of 337,564,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,564,584 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

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 337,564,584 . The biggest common factor number is the GCF number.
So the greatest common factor 337,564,584 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 29/337, 497/564, 642/584

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 29/337, 497/564, 642/584?

Answer: LCM of Numerators as per given numbers 29/337, 497/564, 642/584 is

LCM of Numerators i.e. for 29,497,642 is 9253146

GCF of denominators i.e. for 337,564,584 is 1.

Thus, LCM of Fractions is 9253146.Finally, LCM of Fractions for 29/337, 497/564, 642/584 is 9253146.