Least Common Multiple of 473/916, 713/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 473/916, 713/274 quickly i.e. 337249/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 473/916, 713/274 is 337249/2.

LCM(473/916, 713/274) = 337249/2

LCM of 473/916, 713/274

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 473/916,713/274

Given numbers are 473/916,713/274

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 473,713

Least Common Multiple of Numerators i.e. LCM of 473,713 is 337249.

GCF of Denominators means GCF of 916,274 as per the given fractions.

GCF of 916,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 473,713

LCM of Fractions 473/916,713/274 is 337249/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 337249

Least Common Multiple of 473,713 with GCF Formula

Least Common Multiple of 473,713 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 473,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,713) = 1

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

GCF(473,713) x common factors =1 x 1 = 1

LCM(473,713) = ( 473 × 713 ) / 1

LCM(473,713) = 337249 / 1

LCM(473,713) = 337249


Lets's calculate GCF of 916,274

2 916, 274
458, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 337249/2

Therefore the LCM of Fractions 473/916,713/274 is 337249/2

Greatest Common Factor of 916,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,274 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 916,274 . The biggest common factor number is the GCF number.
So the greatest common factor 916,274 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 473/916, 713/274

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 473/916, 713/274?

Answer: LCM of Numerators as per given numbers 473/916, 713/274 is

LCM of Numerators i.e. for 473,713 is 337249

GCF of denominators i.e. for 916,274 is 2.

Thus, LCM of Fractions is 337249/2.Finally, LCM of Fractions for 473/916, 713/274 is 337249/2.