Least Common Multiple of 724/87, 339/2204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/87, 339/2204 quickly i.e. 245436/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/87, 339/2204 is 245436/29.

LCM(724/87, 339/2204) = 245436/29

LCM of 724/87, 339/2204

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 724/87,339/2204

Given numbers are 724/87,339/2204

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 724,339

Least Common Multiple of Numerators i.e. LCM of 724,339 is 245436.

GCF of Denominators means GCF of 87,2204 as per the given fractions.

GCF of 87,2204 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,339

LCM of Fractions 724/87,339/2204 is 245436/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 245436

Least Common Multiple of 724,339 with GCF Formula

Least Common Multiple of 724,339 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 724,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,339) = 1

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

GCF(724,339) x common factors =1 x 1 = 1

LCM(724,339) = ( 724 × 339 ) / 1

LCM(724,339) = 245436 / 1

LCM(724,339) = 245436


Lets's calculate GCF of 87,2204

29 87, 2204
3, 76

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245436/29

Therefore the LCM of Fractions 724/87,339/2204 is 245436/29

Greatest Common Factor of 87,2204 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,2204 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 2204

List of positive integer factors of 2204 that divides 2204 without a remainder.

1,2,4,19,29,38,58,76,116,551,1102,2204

Greatest Common Factor

We found the factors 87,2204 . The biggest common factor number is the GCF number.
So the greatest common factor 87,2204 is 29.


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 724/87, 339/2204

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 724/87, 339/2204?

Answer: LCM of Numerators as per given numbers 724/87, 339/2204 is

LCM of Numerators i.e. for 724,339 is 245436

GCF of denominators i.e. for 87,2204 is 29.

Thus, LCM of Fractions is 245436/29.Finally, LCM of Fractions for 724/87, 339/2204 is 245436/29.