Least Common Multiple of 722/568, 7271/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/568, 7271/426 quickly i.e. 5249662/142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/568, 7271/426 is 5249662/142.

LCM(722/568, 7271/426) = 5249662/142

LCM of 722/568, 7271/426

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 722/568,7271/426

Given numbers are 722/568,7271/426

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 722,7271

Least Common Multiple of Numerators i.e. LCM of 722,7271 is 5249662.

GCF of Denominators means GCF of 568,426 as per the given fractions.

GCF of 568,426 is 142 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,7271

LCM of Fractions 722/568,7271/426 is 5249662/142

Given numbers has no common factors except 1. So, there LCM is their product i.e 5249662

Least Common Multiple of 722,7271 with GCF Formula

Least Common Multiple of 722,7271 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 722,7271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,7271) = 1

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

GCF(722,7271) x common factors =1 x 1 = 1

LCM(722,7271) = ( 722 × 7271 ) / 1

LCM(722,7271) = 5249662 / 1

LCM(722,7271) = 5249662


Lets's calculate GCF of 568,426

2 568, 426
71 284, 213
4, 3

∴ So the GCF of the given numbers is 2 x 71 = 142

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5249662/142

Therefore the LCM of Fractions 722/568,7271/426 is 5249662/142

Greatest Common Factor of 568,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,426 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 568,426 . The biggest common factor number is the GCF number.
So the greatest common factor 568,426 is 142.


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 722/568, 7271/426

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 722/568, 7271/426?

Answer: LCM of Numerators as per given numbers 722/568, 7271/426 is

LCM of Numerators i.e. for 722,7271 is 5249662

GCF of denominators i.e. for 568,426 is 142.

Thus, LCM of Fractions is 5249662/142.Finally, LCM of Fractions for 722/568, 7271/426 is 5249662/142.