Least Common Multiple of 21/739, 394/292, 364/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/739, 394/292, 364/195 quickly i.e. 215124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/739, 394/292, 364/195 is 215124.

LCM(21/739, 394/292, 364/195) = 215124

LCM of 21/739, 394/292, 364/195

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 21/739,394/292,364/195

Given numbers are 21/739,394/292,364/195

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 21,394,364

Least Common Multiple of Numerators i.e. LCM of 21,394,364 is 215124.

GCF of Denominators means GCF of 739,292,195 as per the given fractions.

GCF of 739,292,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,394,364

LCM of Fractions 21/739,394/292,364/195 is 215124

2 21, 394, 364
7 21, 197, 182
3, 197, 26

∴ So the LCM of the given numbers is 2 x 7 x 3 x 197 x 26 = 215124

Least Common Multiple of 21,394,364 with GCF Formula

Least Common Multiple of 21,394,364 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 21,394,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,394,364) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(21,394,364) x common factors =1 x 14 = 14

LCM(21,394,364) = ( 21 × 394 × 364 ) / 14

LCM(21,394,364) = 3011736 / 14

LCM(21,394,364) = 215124


Lets's calculate GCF of 739,292,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215124/1

Therefore the LCM of Fractions 21/739,394/292,364/195 is 215124

Greatest Common Factor of 739,292,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,292,195 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 739,292,195 . The biggest common factor number is the GCF number.
So the greatest common factor 739,292,195 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 21/739, 394/292, 364/195

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 21/739, 394/292, 364/195?

Answer: LCM of Numerators as per given numbers 21/739, 394/292, 364/195 is

LCM of Numerators i.e. for 21,394,364 is 215124

GCF of denominators i.e. for 739,292,195 is 1.

Thus, LCM of Fractions is 215124.Finally, LCM of Fractions for 21/739, 394/292, 364/195 is 215124.