Least Common Multiple of 591/96, 755/70, 724/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/96, 755/70, 724/88 quickly i.e. 161526210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/96, 755/70, 724/88 is 161526210.

LCM(591/96, 755/70, 724/88) = 161526210

LCM of 591/96, 755/70, 724/88

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 591/96,755/70,724/88

Given numbers are 591/96,755/70,724/88

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 591,755,724

Least Common Multiple of Numerators i.e. LCM of 591,755,724 is 323052420.

GCF of Denominators means GCF of 96,70,88 as per the given fractions.

GCF of 96,70,88 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,755,724

LCM of Fractions 591/96,755/70,724/88 is 161526210

Given numbers has no common factors except 1. So, there LCM is their product i.e 323052420

Least Common Multiple of 591,755,724 with GCF Formula

Least Common Multiple of 591,755,724 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 591,755,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,755,724) = 1

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

GCF(591,755,724) x common factors =1 x 1 = 1

LCM(591,755,724) = ( 591 × 755 × 724 ) / 1

LCM(591,755,724) = 323052420 / 1

LCM(591,755,724) = 323052420


Lets's calculate GCF of 96,70,88

2 96, 70, 88
48, 35, 44

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323052420/2

Therefore the LCM of Fractions 591/96,755/70,724/88 is 161526210

Greatest Common Factor of 96,70,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,70,88 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 96,70,88 . The biggest common factor number is the GCF number.
So the greatest common factor 96,70,88 is 2.


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 591/96, 755/70, 724/88

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 591/96, 755/70, 724/88?

Answer: LCM of Numerators as per given numbers 591/96, 755/70, 724/88 is

LCM of Numerators i.e. for 591,755,724 is 323052420

GCF of denominators i.e. for 96,70,88 is 2.

Thus, LCM of Fractions is 161526210.Finally, LCM of Fractions for 591/96, 755/70, 724/88 is 161526210.