Least Common Multiple of 24/231, 73/799, 749/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/231, 73/799, 749/251 quickly i.e. 1312248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/231, 73/799, 749/251 is 1312248.

LCM(24/231, 73/799, 749/251) = 1312248

LCM of 24/231, 73/799, 749/251

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 24/231,73/799,749/251

Given numbers are 24/231,73/799,749/251

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 24,73,749

Least Common Multiple of Numerators i.e. LCM of 24,73,749 is 1312248.

GCF of Denominators means GCF of 231,799,251 as per the given fractions.

GCF of 231,799,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,73,749

LCM of Fractions 24/231,73/799,749/251 is 1312248

Given numbers has no common factors except 1. So, there LCM is their product i.e 1312248

Least Common Multiple of 24,73,749 with GCF Formula

Least Common Multiple of 24,73,749 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 24,73,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,73,749) = 1

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

GCF(24,73,749) x common factors =1 x 1 = 1

LCM(24,73,749) = ( 24 × 73 × 749 ) / 1

LCM(24,73,749) = 1312248 / 1

LCM(24,73,749) = 1312248


Lets's calculate GCF of 231,799,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1312248/1

Therefore the LCM of Fractions 24/231,73/799,749/251 is 1312248

Greatest Common Factor of 231,799,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,799,251 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 231,799,251 . The biggest common factor number is the GCF number.
So the greatest common factor 231,799,251 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 24/231, 73/799, 749/251

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 24/231, 73/799, 749/251?

Answer: LCM of Numerators as per given numbers 24/231, 73/799, 749/251 is

LCM of Numerators i.e. for 24,73,749 is 1312248

GCF of denominators i.e. for 231,799,251 is 1.

Thus, LCM of Fractions is 1312248.Finally, LCM of Fractions for 24/231, 73/799, 749/251 is 1312248.