Least Common Multiple of 7278/476, 5143/8957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7278/476, 5143/8957 quickly i.e. 37430754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7278/476, 5143/8957 is 37430754.

LCM(7278/476, 5143/8957) = 37430754

LCM of 7278/476, 5143/8957

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 7278/476,5143/8957

Given numbers are 7278/476,5143/8957

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 7278,5143

Least Common Multiple of Numerators i.e. LCM of 7278,5143 is 37430754.

GCF of Denominators means GCF of 476,8957 as per the given fractions.

GCF of 476,8957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7278,5143

LCM of Fractions 7278/476,5143/8957 is 37430754

Given numbers has no common factors except 1. So, there LCM is their product i.e 37430754

Least Common Multiple of 7278,5143 with GCF Formula

Least Common Multiple of 7278,5143 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 7278,5143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7278,5143) = 1

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

GCF(7278,5143) x common factors =1 x 1 = 1

LCM(7278,5143) = ( 7278 × 5143 ) / 1

LCM(7278,5143) = 37430754 / 1

LCM(7278,5143) = 37430754


Lets's calculate GCF of 476,8957

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37430754/1

Therefore the LCM of Fractions 7278/476,5143/8957 is 37430754

Greatest Common Factor of 476,8957 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,8957 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 8957

List of positive integer factors of 8957 that divides 8957 without a remainder.

1,13,53,169,689,8957

Greatest Common Factor

We found the factors 476,8957 . The biggest common factor number is the GCF number.
So the greatest common factor 476,8957 is 1.


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 7278/476, 5143/8957

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 7278/476, 5143/8957?

Answer: LCM of Numerators as per given numbers 7278/476, 5143/8957 is

LCM of Numerators i.e. for 7278,5143 is 37430754

GCF of denominators i.e. for 476,8957 is 1.

Thus, LCM of Fractions is 37430754.Finally, LCM of Fractions for 7278/476, 5143/8957 is 37430754.