Least Common Multiple of 9/93, 7/37, 38/20, 96/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/93, 7/37, 38/20, 96/579 quickly i.e. 38304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/93, 7/37, 38/20, 96/579 is 38304.

LCM(9/93, 7/37, 38/20, 96/579) = 38304

LCM of 9/93, 7/37, 38/20, 96/579

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 9/93,7/37,38/20,96/579

Given numbers are 9/93,7/37,38/20,96/579

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 9,7,38,96

Least Common Multiple of Numerators i.e. LCM of 9,7,38,96 is 38304.

GCF of Denominators means GCF of 93,37,20,579 as per the given fractions.

GCF of 93,37,20,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,7,38,96

LCM of Fractions 9/93,7/37,38/20,96/579 is 38304

2 9, 7, 38, 96
3 9, 7, 19, 48
3, 7, 19, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 19 x 16 = 38304

Least Common Multiple of 9,7,38,96 with GCF Formula

Least Common Multiple of 9,7,38,96 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 9,7,38,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,7,38,96) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(9,7,38,96) x common factors =1 x 6 = 6

LCM(9,7,38,96) = ( 9 × 7 × 38 × 96 ) / 6

LCM(9,7,38,96) = 229824 / 6

LCM(9,7,38,96) = 38304


Lets's calculate GCF of 93,37,20,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38304/1

Therefore the LCM of Fractions 9/93,7/37,38/20,96/579 is 38304

Greatest Common Factor of 93,37,20,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,37,20,579 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 20

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

1,2,4,5,10,20

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 93,37,20,579 . The biggest common factor number is the GCF number.
So the greatest common factor 93,37,20,579 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 9/93, 7/37, 38/20, 96/579

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 9/93, 7/37, 38/20, 96/579?

Answer: LCM of Numerators as per given numbers 9/93, 7/37, 38/20, 96/579 is

LCM of Numerators i.e. for 9,7,38,96 is 38304

GCF of denominators i.e. for 93,37,20,579 is 1.

Thus, LCM of Fractions is 38304.Finally, LCM of Fractions for 9/93, 7/37, 38/20, 96/579 is 38304.