Least Common Multiple of 64/38, 84/79, 91/20, 72/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/38, 84/79, 91/20, 72/585 quickly i.e. 52416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/38, 84/79, 91/20, 72/585 is 52416.

LCM(64/38, 84/79, 91/20, 72/585) = 52416

LCM of 64/38, 84/79, 91/20, 72/585

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 64/38,84/79,91/20,72/585

Given numbers are 64/38,84/79,91/20,72/585

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 64,84,91,72

Least Common Multiple of Numerators i.e. LCM of 64,84,91,72 is 52416.

GCF of Denominators means GCF of 38,79,20,585 as per the given fractions.

GCF of 38,79,20,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,84,91,72

LCM of Fractions 64/38,84/79,91/20,72/585 is 52416

2 64, 84, 91, 72
2 32, 42, 91, 36
2 16, 21, 91, 18
3 8, 21, 91, 9
7 8, 7, 91, 3
8, 1, 13, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 8 x 1 x 13 x 3 = 52416

Least Common Multiple of 64,84,91,72 with GCF Formula

Least Common Multiple of 64,84,91,72 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 64,84,91,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,84,91,72) = 1

common factors(in case of two or more numbers have common factors) = 672

GCF(64,84,91,72) x common factors =1 x 672 = 672

LCM(64,84,91,72) = ( 64 × 84 × 91 × 72 ) / 672

LCM(64,84,91,72) = 35223552 / 672

LCM(64,84,91,72) = 52416


Lets's calculate GCF of 38,79,20,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52416/1

Therefore the LCM of Fractions 64/38,84/79,91/20,72/585 is 52416

Greatest Common Factor of 38,79,20,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,79,20,585 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 20

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

1,2,4,5,10,20

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 38,79,20,585 . The biggest common factor number is the GCF number.
So the greatest common factor 38,79,20,585 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 64/38, 84/79, 91/20, 72/585

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 64/38, 84/79, 91/20, 72/585?

Answer: LCM of Numerators as per given numbers 64/38, 84/79, 91/20, 72/585 is

LCM of Numerators i.e. for 64,84,91,72 is 52416

GCF of denominators i.e. for 38,79,20,585 is 1.

Thus, LCM of Fractions is 52416.Finally, LCM of Fractions for 64/38, 84/79, 91/20, 72/585 is 52416.