Least Common Multiple of 2371/643, 4761/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2371/643, 4761/474 quickly i.e. 11288331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2371/643, 4761/474 is 11288331.

LCM(2371/643, 4761/474) = 11288331

LCM of 2371/643, 4761/474

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 2371/643,4761/474

Given numbers are 2371/643,4761/474

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 2371,4761

Least Common Multiple of Numerators i.e. LCM of 2371,4761 is 11288331.

GCF of Denominators means GCF of 643,474 as per the given fractions.

GCF of 643,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2371,4761

LCM of Fractions 2371/643,4761/474 is 11288331

Given numbers has no common factors except 1. So, there LCM is their product i.e 11288331

Least Common Multiple of 2371,4761 with GCF Formula

Least Common Multiple of 2371,4761 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 2371,4761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2371,4761) = 1

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

GCF(2371,4761) x common factors =1 x 1 = 1

LCM(2371,4761) = ( 2371 × 4761 ) / 1

LCM(2371,4761) = 11288331 / 1

LCM(2371,4761) = 11288331


Lets's calculate GCF of 643,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11288331/1

Therefore the LCM of Fractions 2371/643,4761/474 is 11288331

Greatest Common Factor of 643,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,474 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 643,474 . The biggest common factor number is the GCF number.
So the greatest common factor 643,474 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 2371/643, 4761/474

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 2371/643, 4761/474?

Answer: LCM of Numerators as per given numbers 2371/643, 4761/474 is

LCM of Numerators i.e. for 2371,4761 is 11288331

GCF of denominators i.e. for 643,474 is 1.

Thus, LCM of Fractions is 11288331.Finally, LCM of Fractions for 2371/643, 4761/474 is 11288331.