Least Common Multiple of 96/39, 98/55, 56/96, 14/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/39, 98/55, 56/96, 14/326 quickly i.e. 4704 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, 98/55, 56/96, 14/326 is 4704.

LCM(96/39, 98/55, 56/96, 14/326) = 4704

LCM of 96/39, 98/55, 56/96, 14/326

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 96/39,98/55,56/96,14/326

Given numbers are 96/39,98/55,56/96,14/326

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 96,98,56,14

Least Common Multiple of Numerators i.e. LCM of 96,98,56,14 is 4704.

GCF of Denominators means GCF of 39,55,96,326 as per the given fractions.

GCF of 39,55,96,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,98,56,14

LCM of Fractions 96/39,98/55,56/96,14/326 is 4704

2 96, 98, 56, 14
2 48, 49, 28, 7
2 24, 49, 14, 7
7 12, 49, 7, 7
12, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 12 x 1 x 1 x 7 = 4704

Least Common Multiple of 96,98,56,14 with GCF Formula

Least Common Multiple of 96,98,56,14 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 96,98,56,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,98,56,14) = 2

common factors(in case of two or more numbers have common factors) = 784

GCF(96,98,56,14) x common factors =2 x 784 = 1568

LCM(96,98,56,14) = ( 96 × 98 × 56 × 14 ) / 1568

LCM(96,98,56,14) = 7375872 / 1568

LCM(96,98,56,14) = 4704


Lets's calculate GCF of 39,55,96,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4704/1

Therefore the LCM of Fractions 96/39,98/55,56/96,14/326 is 4704

Greatest Common Factor of 39,55,96,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,55,96,326 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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 39,55,96,326 . The biggest common factor number is the GCF number.
So the greatest common factor 39,55,96,326 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, 98/55, 56/96, 14/326

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, 98/55, 56/96, 14/326?

Answer: LCM of Numerators as per given numbers 96/39, 98/55, 56/96, 14/326 is

LCM of Numerators i.e. for 96,98,56,14 is 4704

GCF of denominators i.e. for 39,55,96,326 is 1.

Thus, LCM of Fractions is 4704.Finally, LCM of Fractions for 96/39, 98/55, 56/96, 14/326 is 4704.