Least Common Multiple of 87/43, 733/48, 839/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/43, 733/48, 839/872 quickly i.e. 53503869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/43, 733/48, 839/872 is 53503869.

LCM(87/43, 733/48, 839/872) = 53503869

LCM of 87/43, 733/48, 839/872

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 87/43,733/48,839/872

Given numbers are 87/43,733/48,839/872

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 87,733,839

Least Common Multiple of Numerators i.e. LCM of 87,733,839 is 53503869.

GCF of Denominators means GCF of 43,48,872 as per the given fractions.

GCF of 43,48,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,733,839

LCM of Fractions 87/43,733/48,839/872 is 53503869

Given numbers has no common factors except 1. So, there LCM is their product i.e 53503869

Least Common Multiple of 87,733,839 with GCF Formula

Least Common Multiple of 87,733,839 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 87,733,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,733,839) = 1

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

GCF(87,733,839) x common factors =1 x 1 = 1

LCM(87,733,839) = ( 87 × 733 × 839 ) / 1

LCM(87,733,839) = 53503869 / 1

LCM(87,733,839) = 53503869


Lets's calculate GCF of 43,48,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53503869/1

Therefore the LCM of Fractions 87/43,733/48,839/872 is 53503869

Greatest Common Factor of 43,48,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,48,872 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 43,48,872 . The biggest common factor number is the GCF number.
So the greatest common factor 43,48,872 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 87/43, 733/48, 839/872

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 87/43, 733/48, 839/872?

Answer: LCM of Numerators as per given numbers 87/43, 733/48, 839/872 is

LCM of Numerators i.e. for 87,733,839 is 53503869

GCF of denominators i.e. for 43,48,872 is 1.

Thus, LCM of Fractions is 53503869.Finally, LCM of Fractions for 87/43, 733/48, 839/872 is 53503869.