Least Common Multiple of 20/99, 74/371, 319/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/99, 74/371, 319/538 quickly i.e. 236060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/99, 74/371, 319/538 is 236060.

LCM(20/99, 74/371, 319/538) = 236060

LCM of 20/99, 74/371, 319/538

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 20/99,74/371,319/538

Given numbers are 20/99,74/371,319/538

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 20,74,319

Least Common Multiple of Numerators i.e. LCM of 20,74,319 is 236060.

GCF of Denominators means GCF of 99,371,538 as per the given fractions.

GCF of 99,371,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,74,319

LCM of Fractions 20/99,74/371,319/538 is 236060

2 20, 74, 319
10, 37, 319

∴ So the LCM of the given numbers is 2 x 10 x 37 x 319 = 236060

Least Common Multiple of 20,74,319 with GCF Formula

Least Common Multiple of 20,74,319 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 20,74,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,74,319) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,74,319) x common factors =1 x 2 = 2

LCM(20,74,319) = ( 20 × 74 × 319 ) / 2

LCM(20,74,319) = 472120 / 2

LCM(20,74,319) = 236060


Lets's calculate GCF of 99,371,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236060/1

Therefore the LCM of Fractions 20/99,74/371,319/538 is 236060

Greatest Common Factor of 99,371,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,371,538 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 99,371,538 . The biggest common factor number is the GCF number.
So the greatest common factor 99,371,538 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 20/99, 74/371, 319/538

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 20/99, 74/371, 319/538?

Answer: LCM of Numerators as per given numbers 20/99, 74/371, 319/538 is

LCM of Numerators i.e. for 20,74,319 is 236060

GCF of denominators i.e. for 99,371,538 is 1.

Thus, LCM of Fractions is 236060.Finally, LCM of Fractions for 20/99, 74/371, 319/538 is 236060.