Least Common Multiple of 713/208, 722/422, 427/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/208, 722/422, 427/922 quickly i.e. 109906811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/208, 722/422, 427/922 is 109906811.

LCM(713/208, 722/422, 427/922) = 109906811

LCM of 713/208, 722/422, 427/922

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 713/208,722/422,427/922

Given numbers are 713/208,722/422,427/922

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 713,722,427

Least Common Multiple of Numerators i.e. LCM of 713,722,427 is 219813622.

GCF of Denominators means GCF of 208,422,922 as per the given fractions.

GCF of 208,422,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,722,427

LCM of Fractions 713/208,722/422,427/922 is 109906811

Given numbers has no common factors except 1. So, there LCM is their product i.e 219813622

Least Common Multiple of 713,722,427 with GCF Formula

Least Common Multiple of 713,722,427 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 713,722,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,722,427) = 1

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

GCF(713,722,427) x common factors =1 x 1 = 1

LCM(713,722,427) = ( 713 × 722 × 427 ) / 1

LCM(713,722,427) = 219813622 / 1

LCM(713,722,427) = 219813622


Lets's calculate GCF of 208,422,922

2 208, 422, 922
104, 211, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219813622/2

Therefore the LCM of Fractions 713/208,722/422,427/922 is 109906811

Greatest Common Factor of 208,422,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,422,922 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 208,422,922 . The biggest common factor number is the GCF number.
So the greatest common factor 208,422,922 is 2.


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 713/208, 722/422, 427/922

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 713/208, 722/422, 427/922?

Answer: LCM of Numerators as per given numbers 713/208, 722/422, 427/922 is

LCM of Numerators i.e. for 713,722,427 is 219813622

GCF of denominators i.e. for 208,422,922 is 2.

Thus, LCM of Fractions is 109906811.Finally, LCM of Fractions for 713/208, 722/422, 427/922 is 109906811.