Least Common Multiple of 21/189, 904/365, 634/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/189, 904/365, 634/172 quickly i.e. 6017928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/189, 904/365, 634/172 is 6017928.

LCM(21/189, 904/365, 634/172) = 6017928

LCM of 21/189, 904/365, 634/172

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 21/189,904/365,634/172

Given numbers are 21/189,904/365,634/172

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 21,904,634

Least Common Multiple of Numerators i.e. LCM of 21,904,634 is 6017928.

GCF of Denominators means GCF of 189,365,172 as per the given fractions.

GCF of 189,365,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,904,634

LCM of Fractions 21/189,904/365,634/172 is 6017928

2 21, 904, 634
21, 452, 317

∴ So the LCM of the given numbers is 2 x 21 x 452 x 317 = 6017928

Least Common Multiple of 21,904,634 with GCF Formula

Least Common Multiple of 21,904,634 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 21,904,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,904,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(21,904,634) x common factors =1 x 2 = 2

LCM(21,904,634) = ( 21 × 904 × 634 ) / 2

LCM(21,904,634) = 12035856 / 2

LCM(21,904,634) = 6017928


Lets's calculate GCF of 189,365,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6017928/1

Therefore the LCM of Fractions 21/189,904/365,634/172 is 6017928

Greatest Common Factor of 189,365,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,365,172 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 189,365,172 . The biggest common factor number is the GCF number.
So the greatest common factor 189,365,172 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 21/189, 904/365, 634/172

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 21/189, 904/365, 634/172?

Answer: LCM of Numerators as per given numbers 21/189, 904/365, 634/172 is

LCM of Numerators i.e. for 21,904,634 is 6017928

GCF of denominators i.e. for 189,365,172 is 1.

Thus, LCM of Fractions is 6017928.Finally, LCM of Fractions for 21/189, 904/365, 634/172 is 6017928.