Least Common Multiple of 30/789, 64/600, 872/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/789, 64/600, 872/163 quickly i.e. 104640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/789, 64/600, 872/163 is 104640.

LCM(30/789, 64/600, 872/163) = 104640

LCM of 30/789, 64/600, 872/163

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 30/789,64/600,872/163

Given numbers are 30/789,64/600,872/163

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 30,64,872

Least Common Multiple of Numerators i.e. LCM of 30,64,872 is 104640.

GCF of Denominators means GCF of 789,600,163 as per the given fractions.

GCF of 789,600,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,64,872

LCM of Fractions 30/789,64/600,872/163 is 104640

2 30, 64, 872
2 15, 32, 436
2 15, 16, 218
15, 8, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 8 x 109 = 104640

Least Common Multiple of 30,64,872 with GCF Formula

Least Common Multiple of 30,64,872 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 30,64,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,64,872) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(30,64,872) x common factors =2 x 8 = 16

LCM(30,64,872) = ( 30 × 64 × 872 ) / 16

LCM(30,64,872) = 1674240 / 16

LCM(30,64,872) = 104640


Lets's calculate GCF of 789,600,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104640/1

Therefore the LCM of Fractions 30/789,64/600,872/163 is 104640

Greatest Common Factor of 789,600,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,600,163 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 789,600,163 . The biggest common factor number is the GCF number.
So the greatest common factor 789,600,163 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 30/789, 64/600, 872/163

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 30/789, 64/600, 872/163?

Answer: LCM of Numerators as per given numbers 30/789, 64/600, 872/163 is

LCM of Numerators i.e. for 30,64,872 is 104640

GCF of denominators i.e. for 789,600,163 is 1.

Thus, LCM of Fractions is 104640.Finally, LCM of Fractions for 30/789, 64/600, 872/163 is 104640.