Least Common Multiple of 20/45, 53/83, 23/77, 30/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/45, 53/83, 23/77, 30/38 quickly i.e. 73140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/45, 53/83, 23/77, 30/38 is 73140.

LCM(20/45, 53/83, 23/77, 30/38) = 73140

LCM of 20/45, 53/83, 23/77, 30/38

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 20/45,53/83,23/77,30/38

Given numbers are 20/45,53/83,23/77,30/38

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 20,53,23,30

Least Common Multiple of Numerators i.e. LCM of 20,53,23,30 is 73140.

GCF of Denominators means GCF of 45,83,77,38 as per the given fractions.

GCF of 45,83,77,38 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,53,23,30

LCM of Fractions 20/45,53/83,23/77,30/38 is 73140

2 20, 53, 23, 30
5 10, 53, 23, 15
2, 53, 23, 3

∴ So the LCM of the given numbers is 2 x 5 x 2 x 53 x 23 x 3 = 73140

Least Common Multiple of 20,53,23,30 with GCF Formula

Least Common Multiple of 20,53,23,30 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 20,53,23,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,53,23,30) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(20,53,23,30) x common factors =1 x 10 = 10

LCM(20,53,23,30) = ( 20 × 53 × 23 × 30 ) / 10

LCM(20,53,23,30) = 731400 / 10

LCM(20,53,23,30) = 73140


Lets's calculate GCF of 45,83,77,38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73140/1

Therefore the LCM of Fractions 20/45,53/83,23/77,30/38 is 73140

Greatest Common Factor of 45,83,77,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,83,77,38 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 45,83,77,38 . The biggest common factor number is the GCF number.
So the greatest common factor 45,83,77,38 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 20/45, 53/83, 23/77, 30/38

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 20/45, 53/83, 23/77, 30/38?

Answer: LCM of Numerators as per given numbers 20/45, 53/83, 23/77, 30/38 is

LCM of Numerators i.e. for 20,53,23,30 is 73140

GCF of denominators i.e. for 45,83,77,38 is 1.

Thus, LCM of Fractions is 73140.Finally, LCM of Fractions for 20/45, 53/83, 23/77, 30/38 is 73140.