Least Common Multiple of 868/76, 655/89, 891/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/76, 655/89, 891/33 quickly i.e. 506569140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/76, 655/89, 891/33 is 506569140.

LCM(868/76, 655/89, 891/33) = 506569140

LCM of 868/76, 655/89, 891/33

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 868/76,655/89,891/33

Given numbers are 868/76,655/89,891/33

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 868,655,891

Least Common Multiple of Numerators i.e. LCM of 868,655,891 is 506569140.

GCF of Denominators means GCF of 76,89,33 as per the given fractions.

GCF of 76,89,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,655,891

LCM of Fractions 868/76,655/89,891/33 is 506569140

Given numbers has no common factors except 1. So, there LCM is their product i.e 506569140

Least Common Multiple of 868,655,891 with GCF Formula

Least Common Multiple of 868,655,891 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 868,655,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,655,891) = 1

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

GCF(868,655,891) x common factors =1 x 1 = 1

LCM(868,655,891) = ( 868 × 655 × 891 ) / 1

LCM(868,655,891) = 506569140 / 1

LCM(868,655,891) = 506569140


Lets's calculate GCF of 76,89,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506569140/1

Therefore the LCM of Fractions 868/76,655/89,891/33 is 506569140

Greatest Common Factor of 76,89,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,89,33 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 76,89,33 . The biggest common factor number is the GCF number.
So the greatest common factor 76,89,33 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 868/76, 655/89, 891/33

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 868/76, 655/89, 891/33?

Answer: LCM of Numerators as per given numbers 868/76, 655/89, 891/33 is

LCM of Numerators i.e. for 868,655,891 is 506569140

GCF of denominators i.e. for 76,89,33 is 1.

Thus, LCM of Fractions is 506569140.Finally, LCM of Fractions for 868/76, 655/89, 891/33 is 506569140.