Least Common Multiple of 68/89, 96/96, 47/81, 34/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/89, 96/96, 47/81, 34/962 quickly i.e. 76704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/89, 96/96, 47/81, 34/962 is 76704.

LCM(68/89, 96/96, 47/81, 34/962) = 76704

LCM of 68/89, 96/96, 47/81, 34/962

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 68/89,96/96,47/81,34/962

Given numbers are 68/89,96/96,47/81,34/962

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 68,96,47,34

Least Common Multiple of Numerators i.e. LCM of 68,96,47,34 is 76704.

GCF of Denominators means GCF of 89,96,81,962 as per the given fractions.

GCF of 89,96,81,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,96,47,34

LCM of Fractions 68/89,96/96,47/81,34/962 is 76704

2 68, 96, 47, 34
2 34, 48, 47, 17
17 17, 24, 47, 17
1, 24, 47, 1

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 24 x 47 x 1 = 76704

Least Common Multiple of 68,96,47,34 with GCF Formula

Least Common Multiple of 68,96,47,34 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 68,96,47,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,96,47,34) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(68,96,47,34) x common factors =1 x 136 = 136

LCM(68,96,47,34) = ( 68 × 96 × 47 × 34 ) / 136

LCM(68,96,47,34) = 10431744 / 136

LCM(68,96,47,34) = 76704


Lets's calculate GCF of 89,96,81,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76704/1

Therefore the LCM of Fractions 68/89,96/96,47/81,34/962 is 76704

Greatest Common Factor of 89,96,81,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,96,81,962 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 89,96,81,962 . The biggest common factor number is the GCF number.
So the greatest common factor 89,96,81,962 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 68/89, 96/96, 47/81, 34/962

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 68/89, 96/96, 47/81, 34/962?

Answer: LCM of Numerators as per given numbers 68/89, 96/96, 47/81, 34/962 is

LCM of Numerators i.e. for 68,96,47,34 is 76704

GCF of denominators i.e. for 89,96,81,962 is 1.

Thus, LCM of Fractions is 76704.Finally, LCM of Fractions for 68/89, 96/96, 47/81, 34/962 is 76704.