Least Common Multiple of 731/96, 327/96, 482/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/96, 327/96, 482/300 quickly i.e. 115215834/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/96, 327/96, 482/300 is 115215834/12.

LCM(731/96, 327/96, 482/300) = 115215834/12

LCM of 731/96, 327/96, 482/300

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 731/96,327/96,482/300

Given numbers are 731/96,327/96,482/300

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 731,327,482

Least Common Multiple of Numerators i.e. LCM of 731,327,482 is 115215834.

GCF of Denominators means GCF of 96,96,300 as per the given fractions.

GCF of 96,96,300 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,327,482

LCM of Fractions 731/96,327/96,482/300 is 115215834/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 115215834

Least Common Multiple of 731,327,482 with GCF Formula

Least Common Multiple of 731,327,482 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 731,327,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,327,482) = 1

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

GCF(731,327,482) x common factors =1 x 1 = 1

LCM(731,327,482) = ( 731 × 327 × 482 ) / 1

LCM(731,327,482) = 115215834 / 1

LCM(731,327,482) = 115215834


Lets's calculate GCF of 96,96,300

2 96, 96, 300
2 48, 48, 150
3 24, 24, 75
8, 8, 25

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115215834/12

Therefore the LCM of Fractions 731/96,327/96,482/300 is 115215834/12

Greatest Common Factor of 96,96,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,96,300 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 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 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 96,96,300 . The biggest common factor number is the GCF number.
So the greatest common factor 96,96,300 is 12.


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 731/96, 327/96, 482/300

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 731/96, 327/96, 482/300?

Answer: LCM of Numerators as per given numbers 731/96, 327/96, 482/300 is

LCM of Numerators i.e. for 731,327,482 is 115215834

GCF of denominators i.e. for 96,96,300 is 12.

Thus, LCM of Fractions is 115215834/12.Finally, LCM of Fractions for 731/96, 327/96, 482/300 is 115215834/12.