Least Common Multiple of 24/491, 43/811, 371/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/491, 43/811, 371/114 quickly i.e. 382872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/491, 43/811, 371/114 is 382872.

LCM(24/491, 43/811, 371/114) = 382872

LCM of 24/491, 43/811, 371/114

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 24/491,43/811,371/114

Given numbers are 24/491,43/811,371/114

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 24,43,371

Least Common Multiple of Numerators i.e. LCM of 24,43,371 is 382872.

GCF of Denominators means GCF of 491,811,114 as per the given fractions.

GCF of 491,811,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,43,371

LCM of Fractions 24/491,43/811,371/114 is 382872

Given numbers has no common factors except 1. So, there LCM is their product i.e 382872

Least Common Multiple of 24,43,371 with GCF Formula

Least Common Multiple of 24,43,371 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 24,43,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,43,371) = 1

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

GCF(24,43,371) x common factors =1 x 1 = 1

LCM(24,43,371) = ( 24 × 43 × 371 ) / 1

LCM(24,43,371) = 382872 / 1

LCM(24,43,371) = 382872


Lets's calculate GCF of 491,811,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382872/1

Therefore the LCM of Fractions 24/491,43/811,371/114 is 382872

Greatest Common Factor of 491,811,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,811,114 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 491,811,114 . The biggest common factor number is the GCF number.
So the greatest common factor 491,811,114 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 24/491, 43/811, 371/114

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 24/491, 43/811, 371/114?

Answer: LCM of Numerators as per given numbers 24/491, 43/811, 371/114 is

LCM of Numerators i.e. for 24,43,371 is 382872

GCF of denominators i.e. for 491,811,114 is 1.

Thus, LCM of Fractions is 382872.Finally, LCM of Fractions for 24/491, 43/811, 371/114 is 382872.