Least Common Multiple of 21/893, 443/395, 731/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/893, 443/395, 731/134 quickly i.e. 6800493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/893, 443/395, 731/134 is 6800493.

LCM(21/893, 443/395, 731/134) = 6800493

LCM of 21/893, 443/395, 731/134

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 21/893,443/395,731/134

Given numbers are 21/893,443/395,731/134

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 21,443,731

Least Common Multiple of Numerators i.e. LCM of 21,443,731 is 6800493.

GCF of Denominators means GCF of 893,395,134 as per the given fractions.

GCF of 893,395,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,443,731

LCM of Fractions 21/893,443/395,731/134 is 6800493

Given numbers has no common factors except 1. So, there LCM is their product i.e 6800493

Least Common Multiple of 21,443,731 with GCF Formula

Least Common Multiple of 21,443,731 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 21,443,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,443,731) = 1

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

GCF(21,443,731) x common factors =1 x 1 = 1

LCM(21,443,731) = ( 21 × 443 × 731 ) / 1

LCM(21,443,731) = 6800493 / 1

LCM(21,443,731) = 6800493


Lets's calculate GCF of 893,395,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6800493/1

Therefore the LCM of Fractions 21/893,443/395,731/134 is 6800493

Greatest Common Factor of 893,395,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,395,134 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 893,395,134 . The biggest common factor number is the GCF number.
So the greatest common factor 893,395,134 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/893, 443/395, 731/134

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 21/893, 443/395, 731/134?

Answer: LCM of Numerators as per given numbers 21/893, 443/395, 731/134 is

LCM of Numerators i.e. for 21,443,731 is 6800493

GCF of denominators i.e. for 893,395,134 is 1.

Thus, LCM of Fractions is 6800493.Finally, LCM of Fractions for 21/893, 443/395, 731/134 is 6800493.