Least Common Multiple of 8/14, 3/96, 68/29, 73/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/14, 3/96, 68/29, 73/838 quickly i.e. 29784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/14, 3/96, 68/29, 73/838 is 29784.

LCM(8/14, 3/96, 68/29, 73/838) = 29784

LCM of 8/14, 3/96, 68/29, 73/838

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 8/14,3/96,68/29,73/838

Given numbers are 8/14,3/96,68/29,73/838

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 8,3,68,73

Least Common Multiple of Numerators i.e. LCM of 8,3,68,73 is 29784.

GCF of Denominators means GCF of 14,96,29,838 as per the given fractions.

GCF of 14,96,29,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,3,68,73

LCM of Fractions 8/14,3/96,68/29,73/838 is 29784

2 8, 3, 68, 73
2 4, 3, 34, 73
2, 3, 17, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 73 = 29784

Least Common Multiple of 8,3,68,73 with GCF Formula

Least Common Multiple of 8,3,68,73 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 8,3,68,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,3,68,73) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(8,3,68,73) x common factors =1 x 4 = 4

LCM(8,3,68,73) = ( 8 × 3 × 68 × 73 ) / 4

LCM(8,3,68,73) = 119136 / 4

LCM(8,3,68,73) = 29784


Lets's calculate GCF of 14,96,29,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29784/1

Therefore the LCM of Fractions 8/14,3/96,68/29,73/838 is 29784

Greatest Common Factor of 14,96,29,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,96,29,838 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 14,96,29,838 . The biggest common factor number is the GCF number.
So the greatest common factor 14,96,29,838 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 8/14, 3/96, 68/29, 73/838

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 8/14, 3/96, 68/29, 73/838?

Answer: LCM of Numerators as per given numbers 8/14, 3/96, 68/29, 73/838 is

LCM of Numerators i.e. for 8,3,68,73 is 29784

GCF of denominators i.e. for 14,96,29,838 is 1.

Thus, LCM of Fractions is 29784.Finally, LCM of Fractions for 8/14, 3/96, 68/29, 73/838 is 29784.