Least Common Multiple of 21/57, 40/94, 921/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/57, 40/94, 921/140 quickly i.e. 257880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/57, 40/94, 921/140 is 257880.

LCM(21/57, 40/94, 921/140) = 257880

LCM of 21/57, 40/94, 921/140

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 21/57,40/94,921/140

Given numbers are 21/57,40/94,921/140

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 21,40,921

Least Common Multiple of Numerators i.e. LCM of 21,40,921 is 257880.

GCF of Denominators means GCF of 57,94,140 as per the given fractions.

GCF of 57,94,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,40,921

LCM of Fractions 21/57,40/94,921/140 is 257880

3 21, 40, 921
7, 40, 307

∴ So the LCM of the given numbers is 3 x 7 x 40 x 307 = 257880

Least Common Multiple of 21,40,921 with GCF Formula

Least Common Multiple of 21,40,921 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 21,40,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,40,921) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,40,921) x common factors =1 x 3 = 3

LCM(21,40,921) = ( 21 × 40 × 921 ) / 3

LCM(21,40,921) = 773640 / 3

LCM(21,40,921) = 257880


Lets's calculate GCF of 57,94,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257880/1

Therefore the LCM of Fractions 21/57,40/94,921/140 is 257880

Greatest Common Factor of 57,94,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,94,140 By Matching Biggest Common Factor Method

Factors of 57

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

1,3,19,57

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 57,94,140 . The biggest common factor number is the GCF number.
So the greatest common factor 57,94,140 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 21/57, 40/94, 921/140

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 21/57, 40/94, 921/140?

Answer: LCM of Numerators as per given numbers 21/57, 40/94, 921/140 is

LCM of Numerators i.e. for 21,40,921 is 257880

GCF of denominators i.e. for 57,94,140 is 1.

Thus, LCM of Fractions is 257880.Finally, LCM of Fractions for 21/57, 40/94, 921/140 is 257880.