Least Common Multiple of 55/790, 73/253, 198/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/790, 73/253, 198/727 quickly i.e. 72270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/790, 73/253, 198/727 is 72270.

LCM(55/790, 73/253, 198/727) = 72270

LCM of 55/790, 73/253, 198/727

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 55/790,73/253,198/727

Given numbers are 55/790,73/253,198/727

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 55,73,198

Least Common Multiple of Numerators i.e. LCM of 55,73,198 is 72270.

GCF of Denominators means GCF of 790,253,727 as per the given fractions.

GCF of 790,253,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,73,198

LCM of Fractions 55/790,73/253,198/727 is 72270

11 55, 73, 198
5, 73, 18

∴ So the LCM of the given numbers is 11 x 5 x 73 x 18 = 72270

Least Common Multiple of 55,73,198 with GCF Formula

Least Common Multiple of 55,73,198 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 55,73,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,73,198) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,73,198) x common factors =1 x 11 = 11

LCM(55,73,198) = ( 55 × 73 × 198 ) / 11

LCM(55,73,198) = 794970 / 11

LCM(55,73,198) = 72270


Lets's calculate GCF of 790,253,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72270/1

Therefore the LCM of Fractions 55/790,73/253,198/727 is 72270

Greatest Common Factor of 790,253,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,253,727 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 790,253,727 . The biggest common factor number is the GCF number.
So the greatest common factor 790,253,727 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 55/790, 73/253, 198/727

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 55/790, 73/253, 198/727?

Answer: LCM of Numerators as per given numbers 55/790, 73/253, 198/727 is

LCM of Numerators i.e. for 55,73,198 is 72270

GCF of denominators i.e. for 790,253,727 is 1.

Thus, LCM of Fractions is 72270.Finally, LCM of Fractions for 55/790, 73/253, 198/727 is 72270.