Least Common Multiple of 750/468, 5959/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/468, 5959/720 quickly i.e. 4469250/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/468, 5959/720 is 4469250/36.

LCM(750/468, 5959/720) = 4469250/36

LCM of 750/468, 5959/720

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 750/468,5959/720

Given numbers are 750/468,5959/720

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 750,5959

Least Common Multiple of Numerators i.e. LCM of 750,5959 is 4469250.

GCF of Denominators means GCF of 468,720 as per the given fractions.

GCF of 468,720 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,5959

LCM of Fractions 750/468,5959/720 is 4469250/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 4469250

Least Common Multiple of 750,5959 with GCF Formula

Least Common Multiple of 750,5959 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 750,5959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,5959) = 1

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

GCF(750,5959) x common factors =1 x 1 = 1

LCM(750,5959) = ( 750 × 5959 ) / 1

LCM(750,5959) = 4469250 / 1

LCM(750,5959) = 4469250


Lets's calculate GCF of 468,720

2 468, 720
2 234, 360
3 117, 180
3 39, 60
13, 20

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4469250/36

Therefore the LCM of Fractions 750/468,5959/720 is 4469250/36

Greatest Common Factor of 468,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,720 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 468,720 . The biggest common factor number is the GCF number.
So the greatest common factor 468,720 is 36.


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 750/468, 5959/720

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 750/468, 5959/720?

Answer: LCM of Numerators as per given numbers 750/468, 5959/720 is

LCM of Numerators i.e. for 750,5959 is 4469250

GCF of denominators i.e. for 468,720 is 36.

Thus, LCM of Fractions is 4469250/36.Finally, LCM of Fractions for 750/468, 5959/720 is 4469250/36.