Least Common Multiple of 96/39, 59/61, 13/18, 22/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/39, 59/61, 13/18, 22/382 quickly i.e. 809952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/39, 59/61, 13/18, 22/382 is 809952.

LCM(96/39, 59/61, 13/18, 22/382) = 809952

LCM of 96/39, 59/61, 13/18, 22/382

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 96/39,59/61,13/18,22/382

Given numbers are 96/39,59/61,13/18,22/382

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 96,59,13,22

Least Common Multiple of Numerators i.e. LCM of 96,59,13,22 is 809952.

GCF of Denominators means GCF of 39,61,18,382 as per the given fractions.

GCF of 39,61,18,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,59,13,22

LCM of Fractions 96/39,59/61,13/18,22/382 is 809952

2 96, 59, 13, 22
48, 59, 13, 11

∴ So the LCM of the given numbers is 2 x 48 x 59 x 13 x 11 = 809952

Least Common Multiple of 96,59,13,22 with GCF Formula

Least Common Multiple of 96,59,13,22 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 96,59,13,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,59,13,22) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,59,13,22) x common factors =1 x 2 = 2

LCM(96,59,13,22) = ( 96 × 59 × 13 × 22 ) / 2

LCM(96,59,13,22) = 1619904 / 2

LCM(96,59,13,22) = 809952


Lets's calculate GCF of 39,61,18,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 809952/1

Therefore the LCM of Fractions 96/39,59/61,13/18,22/382 is 809952

Greatest Common Factor of 39,61,18,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,61,18,382 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 39,61,18,382 . The biggest common factor number is the GCF number.
So the greatest common factor 39,61,18,382 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 96/39, 59/61, 13/18, 22/382

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 96/39, 59/61, 13/18, 22/382?

Answer: LCM of Numerators as per given numbers 96/39, 59/61, 13/18, 22/382 is

LCM of Numerators i.e. for 96,59,13,22 is 809952

GCF of denominators i.e. for 39,61,18,382 is 1.

Thus, LCM of Fractions is 809952.Finally, LCM of Fractions for 96/39, 59/61, 13/18, 22/382 is 809952.