Least Common Multiple of 55/20, 50/99, 26/66, 81/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/20, 50/99, 26/66, 81/531 quickly i.e. 579150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/20, 50/99, 26/66, 81/531 is 579150.

LCM(55/20, 50/99, 26/66, 81/531) = 579150

LCM of 55/20, 50/99, 26/66, 81/531

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 55/20,50/99,26/66,81/531

Given numbers are 55/20,50/99,26/66,81/531

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 55,50,26,81

Least Common Multiple of Numerators i.e. LCM of 55,50,26,81 is 579150.

GCF of Denominators means GCF of 20,99,66,531 as per the given fractions.

GCF of 20,99,66,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,50,26,81

LCM of Fractions 55/20,50/99,26/66,81/531 is 579150

2 55, 50, 26, 81
5 55, 25, 13, 81
11, 5, 13, 81

∴ So the LCM of the given numbers is 2 x 5 x 11 x 5 x 13 x 81 = 579150

Least Common Multiple of 55,50,26,81 with GCF Formula

Least Common Multiple of 55,50,26,81 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 55,50,26,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,50,26,81) = 1

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

GCF(55,50,26,81) x common factors =1 x 10 = 10

LCM(55,50,26,81) = ( 55 × 50 × 26 × 81 ) / 10

LCM(55,50,26,81) = 5791500 / 10

LCM(55,50,26,81) = 579150


Lets's calculate GCF of 20,99,66,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 579150/1

Therefore the LCM of Fractions 55/20,50/99,26/66,81/531 is 579150

Greatest Common Factor of 20,99,66,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,99,66,531 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 20,99,66,531 . The biggest common factor number is the GCF number.
So the greatest common factor 20,99,66,531 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 55/20, 50/99, 26/66, 81/531

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 55/20, 50/99, 26/66, 81/531?

Answer: LCM of Numerators as per given numbers 55/20, 50/99, 26/66, 81/531 is

LCM of Numerators i.e. for 55,50,26,81 is 579150

GCF of denominators i.e. for 20,99,66,531 is 1.

Thus, LCM of Fractions is 579150.Finally, LCM of Fractions for 55/20, 50/99, 26/66, 81/531 is 579150.