Least Common Multiple of 313/147, 538/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/147, 538/875 quickly i.e. 168394/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/147, 538/875 is 168394/7.

LCM(313/147, 538/875) = 168394/7

LCM of 313/147, 538/875

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 313/147,538/875

Given numbers are 313/147,538/875

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 313,538

Least Common Multiple of Numerators i.e. LCM of 313,538 is 168394.

GCF of Denominators means GCF of 147,875 as per the given fractions.

GCF of 147,875 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,538

LCM of Fractions 313/147,538/875 is 168394/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 168394

Least Common Multiple of 313,538 with GCF Formula

Least Common Multiple of 313,538 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 313,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,538) = 1

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

GCF(313,538) x common factors =1 x 1 = 1

LCM(313,538) = ( 313 × 538 ) / 1

LCM(313,538) = 168394 / 1

LCM(313,538) = 168394


Lets's calculate GCF of 147,875

7 147, 875
21, 125

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168394/7

Therefore the LCM of Fractions 313/147,538/875 is 168394/7

Greatest Common Factor of 147,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,875 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 147,875 . The biggest common factor number is the GCF number.
So the greatest common factor 147,875 is 7.


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 313/147, 538/875

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 313/147, 538/875?

Answer: LCM of Numerators as per given numbers 313/147, 538/875 is

LCM of Numerators i.e. for 313,538 is 168394

GCF of denominators i.e. for 147,875 is 7.

Thus, LCM of Fractions is 168394/7.Finally, LCM of Fractions for 313/147, 538/875 is 168394/7.