Least Common Multiple of 20/93, 71/57, 757/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/93, 71/57, 757/219 quickly i.e. 1074940/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/93, 71/57, 757/219 is 1074940/3.

LCM(20/93, 71/57, 757/219) = 1074940/3

LCM of 20/93, 71/57, 757/219

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 20/93,71/57,757/219

Given numbers are 20/93,71/57,757/219

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 20,71,757

Least Common Multiple of Numerators i.e. LCM of 20,71,757 is 1074940.

GCF of Denominators means GCF of 93,57,219 as per the given fractions.

GCF of 93,57,219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,71,757

LCM of Fractions 20/93,71/57,757/219 is 1074940/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1074940

Least Common Multiple of 20,71,757 with GCF Formula

Least Common Multiple of 20,71,757 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 20,71,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,71,757) = 1

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

GCF(20,71,757) x common factors =1 x 1 = 1

LCM(20,71,757) = ( 20 × 71 × 757 ) / 1

LCM(20,71,757) = 1074940 / 1

LCM(20,71,757) = 1074940


Lets's calculate GCF of 93,57,219

3 93, 57, 219
31, 19, 73

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074940/3

Therefore the LCM of Fractions 20/93,71/57,757/219 is 1074940/3

Greatest Common Factor of 93,57,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,57,219 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 57

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

1,3,19,57

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 93,57,219 . The biggest common factor number is the GCF number.
So the greatest common factor 93,57,219 is 3.


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 20/93, 71/57, 757/219

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 20/93, 71/57, 757/219?

Answer: LCM of Numerators as per given numbers 20/93, 71/57, 757/219 is

LCM of Numerators i.e. for 20,71,757 is 1074940

GCF of denominators i.e. for 93,57,219 is 3.

Thus, LCM of Fractions is 1074940/3.Finally, LCM of Fractions for 20/93, 71/57, 757/219 is 1074940/3.