Least Common Multiple of 57/21, 53/206, 758/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/21, 53/206, 758/394 quickly i.e. 2289918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/21, 53/206, 758/394 is 2289918.

LCM(57/21, 53/206, 758/394) = 2289918

LCM of 57/21, 53/206, 758/394

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 57/21,53/206,758/394

Given numbers are 57/21,53/206,758/394

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 57,53,758

Least Common Multiple of Numerators i.e. LCM of 57,53,758 is 2289918.

GCF of Denominators means GCF of 21,206,394 as per the given fractions.

GCF of 21,206,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,53,758

LCM of Fractions 57/21,53/206,758/394 is 2289918

Given numbers has no common factors except 1. So, there LCM is their product i.e 2289918

Least Common Multiple of 57,53,758 with GCF Formula

Least Common Multiple of 57,53,758 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 57,53,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,53,758) = 1

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

GCF(57,53,758) x common factors =1 x 1 = 1

LCM(57,53,758) = ( 57 × 53 × 758 ) / 1

LCM(57,53,758) = 2289918 / 1

LCM(57,53,758) = 2289918


Lets's calculate GCF of 21,206,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2289918/1

Therefore the LCM of Fractions 57/21,53/206,758/394 is 2289918

Greatest Common Factor of 21,206,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,206,394 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 21,206,394 . The biggest common factor number is the GCF number.
So the greatest common factor 21,206,394 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 57/21, 53/206, 758/394

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 57/21, 53/206, 758/394?

Answer: LCM of Numerators as per given numbers 57/21, 53/206, 758/394 is

LCM of Numerators i.e. for 57,53,758 is 2289918

GCF of denominators i.e. for 21,206,394 is 1.

Thus, LCM of Fractions is 2289918.Finally, LCM of Fractions for 57/21, 53/206, 758/394 is 2289918.