Least Common Multiple of 5450/724, 7956/5684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5450/724, 7956/5684 quickly i.e. 5420025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5450/724, 7956/5684 is 5420025.

LCM(5450/724, 7956/5684) = 5420025

LCM of 5450/724, 7956/5684

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 5450/724,7956/5684

Given numbers are 5450/724,7956/5684

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 5450,7956

Least Common Multiple of Numerators i.e. LCM of 5450,7956 is 21680100.

GCF of Denominators means GCF of 724,5684 as per the given fractions.

GCF of 724,5684 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5450,7956

LCM of Fractions 5450/724,7956/5684 is 5420025

2 5450, 7956
2725, 3978

∴ So the LCM of the given numbers is 2 x 2725 x 3978 = 21680100

Least Common Multiple of 5450,7956 with GCF Formula

Least Common Multiple of 5450,7956 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 5450,7956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5450,7956) = 2

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

GCF(5450,7956) x common factors =2 x 1 = 2

LCM(5450,7956) = ( 5450 × 7956 ) / 2

LCM(5450,7956) = 43360200 / 2

LCM(5450,7956) = 21680100


Lets's calculate GCF of 724,5684

2 724, 5684
2 362, 2842
181, 1421

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21680100/4

Therefore the LCM of Fractions 5450/724,7956/5684 is 5420025

Greatest Common Factor of 724,5684 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,5684 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 5684

List of positive integer factors of 5684 that divides 5684 without a remainder.

1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684

Greatest Common Factor

We found the factors 724,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 724,5684 is 4.


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 5450/724, 7956/5684

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 5450/724, 7956/5684?

Answer: LCM of Numerators as per given numbers 5450/724, 7956/5684 is

LCM of Numerators i.e. for 5450,7956 is 21680100

GCF of denominators i.e. for 724,5684 is 4.

Thus, LCM of Fractions is 5420025.Finally, LCM of Fractions for 5450/724, 7956/5684 is 5420025.