Least Common Multiple of 96/276, 24/357, 923/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/276, 24/357, 923/731 quickly i.e. 88608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/276, 24/357, 923/731 is 88608.

LCM(96/276, 24/357, 923/731) = 88608

LCM of 96/276, 24/357, 923/731

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 96/276,24/357,923/731

Given numbers are 96/276,24/357,923/731

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 96,24,923

Least Common Multiple of Numerators i.e. LCM of 96,24,923 is 88608.

GCF of Denominators means GCF of 276,357,731 as per the given fractions.

GCF of 276,357,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,24,923

LCM of Fractions 96/276,24/357,923/731 is 88608

2 96, 24, 923
2 48, 12, 923
2 24, 6, 923
3 12, 3, 923
4, 1, 923

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 1 x 923 = 88608

Least Common Multiple of 96,24,923 with GCF Formula

Least Common Multiple of 96,24,923 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 96,24,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,24,923) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(96,24,923) x common factors =1 x 24 = 24

LCM(96,24,923) = ( 96 × 24 × 923 ) / 24

LCM(96,24,923) = 2126592 / 24

LCM(96,24,923) = 88608


Lets's calculate GCF of 276,357,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88608/1

Therefore the LCM of Fractions 96/276,24/357,923/731 is 88608

Greatest Common Factor of 276,357,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,357,731 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 276,357,731 . The biggest common factor number is the GCF number.
So the greatest common factor 276,357,731 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 96/276, 24/357, 923/731

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 96/276, 24/357, 923/731?

Answer: LCM of Numerators as per given numbers 96/276, 24/357, 923/731 is

LCM of Numerators i.e. for 96,24,923 is 88608

GCF of denominators i.e. for 276,357,731 is 1.

Thus, LCM of Fractions is 88608.Finally, LCM of Fractions for 96/276, 24/357, 923/731 is 88608.