Least Common Multiple of 8/20, 9/76, 14/64, 99/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/20, 9/76, 14/64, 99/571 quickly i.e. 5544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/20, 9/76, 14/64, 99/571 is 5544.

LCM(8/20, 9/76, 14/64, 99/571) = 5544

LCM of 8/20, 9/76, 14/64, 99/571

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 8/20,9/76,14/64,99/571

Given numbers are 8/20,9/76,14/64,99/571

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 8,9,14,99

Least Common Multiple of Numerators i.e. LCM of 8,9,14,99 is 5544.

GCF of Denominators means GCF of 20,76,64,571 as per the given fractions.

GCF of 20,76,64,571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,9,14,99

LCM of Fractions 8/20,9/76,14/64,99/571 is 5544

2 8, 9, 14, 99
3 4, 9, 7, 99
3 4, 3, 7, 33
4, 1, 7, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 1 x 7 x 11 = 5544

Least Common Multiple of 8,9,14,99 with GCF Formula

Least Common Multiple of 8,9,14,99 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 8,9,14,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,9,14,99) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(8,9,14,99) x common factors =1 x 18 = 18

LCM(8,9,14,99) = ( 8 × 9 × 14 × 99 ) / 18

LCM(8,9,14,99) = 99792 / 18

LCM(8,9,14,99) = 5544


Lets's calculate GCF of 20,76,64,571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/1

Therefore the LCM of Fractions 8/20,9/76,14/64,99/571 is 5544

Greatest Common Factor of 20,76,64,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,76,64,571 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 20,76,64,571 . The biggest common factor number is the GCF number.
So the greatest common factor 20,76,64,571 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 8/20, 9/76, 14/64, 99/571

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 8/20, 9/76, 14/64, 99/571?

Answer: LCM of Numerators as per given numbers 8/20, 9/76, 14/64, 99/571 is

LCM of Numerators i.e. for 8,9,14,99 is 5544

GCF of denominators i.e. for 20,76,64,571 is 1.

Thus, LCM of Fractions is 5544.Finally, LCM of Fractions for 8/20, 9/76, 14/64, 99/571 is 5544.