Least Common Multiple of 20/123, 3713/4935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/123, 3713/4935 quickly i.e. 74260/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/123, 3713/4935 is 74260/3.

LCM(20/123, 3713/4935) = 74260/3

LCM of 20/123, 3713/4935

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 20/123,3713/4935

Given numbers are 20/123,3713/4935

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 20,3713

Least Common Multiple of Numerators i.e. LCM of 20,3713 is 74260.

GCF of Denominators means GCF of 123,4935 as per the given fractions.

GCF of 123,4935 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,3713

LCM of Fractions 20/123,3713/4935 is 74260/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 74260

Least Common Multiple of 20,3713 with GCF Formula

Least Common Multiple of 20,3713 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 20,3713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,3713) = 1

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

GCF(20,3713) x common factors =1 x 1 = 1

LCM(20,3713) = ( 20 × 3713 ) / 1

LCM(20,3713) = 74260 / 1

LCM(20,3713) = 74260


Lets's calculate GCF of 123,4935

3 123, 4935
41, 1645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74260/3

Therefore the LCM of Fractions 20/123,3713/4935 is 74260/3

Greatest Common Factor of 123,4935 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,4935 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Greatest Common Factor

We found the factors 123,4935 . The biggest common factor number is the GCF number.
So the greatest common factor 123,4935 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 20/123, 3713/4935

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 20/123, 3713/4935?

Answer: LCM of Numerators as per given numbers 20/123, 3713/4935 is

LCM of Numerators i.e. for 20,3713 is 74260

GCF of denominators i.e. for 123,4935 is 3.

Thus, LCM of Fractions is 74260/3.Finally, LCM of Fractions for 20/123, 3713/4935 is 74260/3.