Least Common Multiple of 96/231, 745/620, 135/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/231, 745/620, 135/741 quickly i.e. 643680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/231, 745/620, 135/741 is 643680.

LCM(96/231, 745/620, 135/741) = 643680

LCM of 96/231, 745/620, 135/741

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 96/231,745/620,135/741

Given numbers are 96/231,745/620,135/741

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 96,745,135

Least Common Multiple of Numerators i.e. LCM of 96,745,135 is 643680.

GCF of Denominators means GCF of 231,620,741 as per the given fractions.

GCF of 231,620,741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,745,135

LCM of Fractions 96/231,745/620,135/741 is 643680

3 96, 745, 135
5 32, 745, 45
32, 149, 9

∴ So the LCM of the given numbers is 3 x 5 x 32 x 149 x 9 = 643680

Least Common Multiple of 96,745,135 with GCF Formula

Least Common Multiple of 96,745,135 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 96,745,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,745,135) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(96,745,135) x common factors =1 x 15 = 15

LCM(96,745,135) = ( 96 × 745 × 135 ) / 15

LCM(96,745,135) = 9655200 / 15

LCM(96,745,135) = 643680


Lets's calculate GCF of 231,620,741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643680/1

Therefore the LCM of Fractions 96/231,745/620,135/741 is 643680

Greatest Common Factor of 231,620,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,620,741 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 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 231,620,741 . The biggest common factor number is the GCF number.
So the greatest common factor 231,620,741 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 96/231, 745/620, 135/741

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 96/231, 745/620, 135/741?

Answer: LCM of Numerators as per given numbers 96/231, 745/620, 135/741 is

LCM of Numerators i.e. for 96,745,135 is 643680

GCF of denominators i.e. for 231,620,741 is 1.

Thus, LCM of Fractions is 643680.Finally, LCM of Fractions for 96/231, 745/620, 135/741 is 643680.