Least Common Multiple of 96/39, 32/10, 68/30, 83/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/39, 32/10, 68/30, 83/441 quickly i.e. 135456 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, 32/10, 68/30, 83/441 is 135456.

LCM(96/39, 32/10, 68/30, 83/441) = 135456

LCM of 96/39, 32/10, 68/30, 83/441

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 96/39,32/10,68/30,83/441

Given numbers are 96/39,32/10,68/30,83/441

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 96,32,68,83

Least Common Multiple of Numerators i.e. LCM of 96,32,68,83 is 135456.

GCF of Denominators means GCF of 39,10,30,441 as per the given fractions.

GCF of 39,10,30,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,32,68,83

LCM of Fractions 96/39,32/10,68/30,83/441 is 135456

2 96, 32, 68, 83
2 48, 16, 34, 83
2 24, 8, 17, 83
2 12, 4, 17, 83
2 6, 2, 17, 83
3, 1, 17, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 17 x 83 = 135456

Least Common Multiple of 96,32,68,83 with GCF Formula

Least Common Multiple of 96,32,68,83 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 96,32,68,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,32,68,83) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(96,32,68,83) x common factors =1 x 128 = 128

LCM(96,32,68,83) = ( 96 × 32 × 68 × 83 ) / 128

LCM(96,32,68,83) = 17338368 / 128

LCM(96,32,68,83) = 135456


Lets's calculate GCF of 39,10,30,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135456/1

Therefore the LCM of Fractions 96/39,32/10,68/30,83/441 is 135456

Greatest Common Factor of 39,10,30,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,10,30,441 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 39,10,30,441 . The biggest common factor number is the GCF number.
So the greatest common factor 39,10,30,441 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, 32/10, 68/30, 83/441

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, 32/10, 68/30, 83/441?

Answer: LCM of Numerators as per given numbers 96/39, 32/10, 68/30, 83/441 is

LCM of Numerators i.e. for 96,32,68,83 is 135456

GCF of denominators i.e. for 39,10,30,441 is 1.

Thus, LCM of Fractions is 135456.Finally, LCM of Fractions for 96/39, 32/10, 68/30, 83/441 is 135456.