Least Common Multiple of 639/55, 444/57, 868/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 639/55, 444/57, 868/165 quickly i.e. 20522124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 639/55, 444/57, 868/165 is 20522124.

LCM(639/55, 444/57, 868/165) = 20522124

LCM of 639/55, 444/57, 868/165

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 639/55,444/57,868/165

Given numbers are 639/55,444/57,868/165

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 639,444,868

Least Common Multiple of Numerators i.e. LCM of 639,444,868 is 20522124.

GCF of Denominators means GCF of 55,57,165 as per the given fractions.

GCF of 55,57,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 639,444,868

LCM of Fractions 639/55,444/57,868/165 is 20522124

2 639, 444, 868
2 639, 222, 434
3 639, 111, 217
213, 37, 217

∴ So the LCM of the given numbers is 2 x 2 x 3 x 213 x 37 x 217 = 20522124

Least Common Multiple of 639,444,868 with GCF Formula

Least Common Multiple of 639,444,868 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 639,444,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,444,868) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(639,444,868) x common factors =1 x 12 = 12

LCM(639,444,868) = ( 639 × 444 × 868 ) / 12

LCM(639,444,868) = 246265488 / 12

LCM(639,444,868) = 20522124


Lets's calculate GCF of 55,57,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20522124/1

Therefore the LCM of Fractions 639/55,444/57,868/165 is 20522124

Greatest Common Factor of 55,57,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,57,165 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 55,57,165 . The biggest common factor number is the GCF number.
So the greatest common factor 55,57,165 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 639/55, 444/57, 868/165

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 639/55, 444/57, 868/165?

Answer: LCM of Numerators as per given numbers 639/55, 444/57, 868/165 is

LCM of Numerators i.e. for 639,444,868 is 20522124

GCF of denominators i.e. for 55,57,165 is 1.

Thus, LCM of Fractions is 20522124.Finally, LCM of Fractions for 639/55, 444/57, 868/165 is 20522124.