Least Common Multiple of 20/183, 89/397, 544/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/183, 89/397, 544/997 quickly i.e. 242080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/183, 89/397, 544/997 is 242080.

LCM(20/183, 89/397, 544/997) = 242080

LCM of 20/183, 89/397, 544/997

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 20/183,89/397,544/997

Given numbers are 20/183,89/397,544/997

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 20,89,544

Least Common Multiple of Numerators i.e. LCM of 20,89,544 is 242080.

GCF of Denominators means GCF of 183,397,997 as per the given fractions.

GCF of 183,397,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,89,544

LCM of Fractions 20/183,89/397,544/997 is 242080

2 20, 89, 544
2 10, 89, 272
5, 89, 136

∴ So the LCM of the given numbers is 2 x 2 x 5 x 89 x 136 = 242080

Least Common Multiple of 20,89,544 with GCF Formula

Least Common Multiple of 20,89,544 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 20,89,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,89,544) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,89,544) x common factors =1 x 4 = 4

LCM(20,89,544) = ( 20 × 89 × 544 ) / 4

LCM(20,89,544) = 968320 / 4

LCM(20,89,544) = 242080


Lets's calculate GCF of 183,397,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242080/1

Therefore the LCM of Fractions 20/183,89/397,544/997 is 242080

Greatest Common Factor of 183,397,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,397,997 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 183,397,997 . The biggest common factor number is the GCF number.
So the greatest common factor 183,397,997 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 20/183, 89/397, 544/997

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 20/183, 89/397, 544/997?

Answer: LCM of Numerators as per given numbers 20/183, 89/397, 544/997 is

LCM of Numerators i.e. for 20,89,544 is 242080

GCF of denominators i.e. for 183,397,997 is 1.

Thus, LCM of Fractions is 242080.Finally, LCM of Fractions for 20/183, 89/397, 544/997 is 242080.