Least Common Multiple of 24/261, 5141/9471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/261, 5141/9471 quickly i.e. 41128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/261, 5141/9471 is 41128.

LCM(24/261, 5141/9471) = 41128

LCM of 24/261, 5141/9471

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 24/261,5141/9471

Given numbers are 24/261,5141/9471

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 24,5141

Least Common Multiple of Numerators i.e. LCM of 24,5141 is 123384.

GCF of Denominators means GCF of 261,9471 as per the given fractions.

GCF of 261,9471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,5141

LCM of Fractions 24/261,5141/9471 is 41128

Given numbers has no common factors except 1. So, there LCM is their product i.e 123384

Least Common Multiple of 24,5141 with GCF Formula

Least Common Multiple of 24,5141 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 24,5141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,5141) = 1

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

GCF(24,5141) x common factors =1 x 1 = 1

LCM(24,5141) = ( 24 × 5141 ) / 1

LCM(24,5141) = 123384 / 1

LCM(24,5141) = 123384


Lets's calculate GCF of 261,9471

3 261, 9471
87, 3157

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123384/3

Therefore the LCM of Fractions 24/261,5141/9471 is 41128

Greatest Common Factor of 261,9471 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,9471 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 9471

List of positive integer factors of 9471 that divides 9471 without a remainder.

1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471

Greatest Common Factor

We found the factors 261,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 261,9471 is 3.


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 24/261, 5141/9471

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 24/261, 5141/9471?

Answer: LCM of Numerators as per given numbers 24/261, 5141/9471 is

LCM of Numerators i.e. for 24,5141 is 123384

GCF of denominators i.e. for 261,9471 is 3.

Thus, LCM of Fractions is 41128.Finally, LCM of Fractions for 24/261, 5141/9471 is 41128.