Least Common Multiple of 53/55, 333/20, 361/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/55, 333/20, 361/766 quickly i.e. 6371289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/55, 333/20, 361/766 is 6371289.

LCM(53/55, 333/20, 361/766) = 6371289

LCM of 53/55, 333/20, 361/766

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 53/55,333/20,361/766

Given numbers are 53/55,333/20,361/766

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 53,333,361

Least Common Multiple of Numerators i.e. LCM of 53,333,361 is 6371289.

GCF of Denominators means GCF of 55,20,766 as per the given fractions.

GCF of 55,20,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,333,361

LCM of Fractions 53/55,333/20,361/766 is 6371289

Given numbers has no common factors except 1. So, there LCM is their product i.e 6371289

Least Common Multiple of 53,333,361 with GCF Formula

Least Common Multiple of 53,333,361 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 53,333,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,333,361) = 1

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

GCF(53,333,361) x common factors =1 x 1 = 1

LCM(53,333,361) = ( 53 × 333 × 361 ) / 1

LCM(53,333,361) = 6371289 / 1

LCM(53,333,361) = 6371289


Lets's calculate GCF of 55,20,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6371289/1

Therefore the LCM of Fractions 53/55,333/20,361/766 is 6371289

Greatest Common Factor of 55,20,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,20,766 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 55,20,766 . The biggest common factor number is the GCF number.
So the greatest common factor 55,20,766 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/55, 333/20, 361/766

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 53/55, 333/20, 361/766?

Answer: LCM of Numerators as per given numbers 53/55, 333/20, 361/766 is

LCM of Numerators i.e. for 53,333,361 is 6371289

GCF of denominators i.e. for 55,20,766 is 1.

Thus, LCM of Fractions is 6371289.Finally, LCM of Fractions for 53/55, 333/20, 361/766 is 6371289.