Least Common Multiple of 9702/294, 8142/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9702/294, 8142/968 quickly i.e. 6582807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9702/294, 8142/968 is 6582807.

LCM(9702/294, 8142/968) = 6582807

LCM of 9702/294, 8142/968

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 9702/294,8142/968

Given numbers are 9702/294,8142/968

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 9702,8142

Least Common Multiple of Numerators i.e. LCM of 9702,8142 is 13165614.

GCF of Denominators means GCF of 294,968 as per the given fractions.

GCF of 294,968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9702,8142

LCM of Fractions 9702/294,8142/968 is 6582807

2 9702, 8142
3 4851, 4071
1617, 1357

∴ So the LCM of the given numbers is 2 x 3 x 1617 x 1357 = 13165614

Least Common Multiple of 9702,8142 with GCF Formula

Least Common Multiple of 9702,8142 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 9702,8142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9702,8142) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(9702,8142) x common factors =6 x 1 = 6

LCM(9702,8142) = ( 9702 × 8142 ) / 6

LCM(9702,8142) = 78993684 / 6

LCM(9702,8142) = 13165614


Lets's calculate GCF of 294,968

2 294, 968
147, 484

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13165614/2

Therefore the LCM of Fractions 9702/294,8142/968 is 6582807

Greatest Common Factor of 294,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,968 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 294,968 . The biggest common factor number is the GCF number.
So the greatest common factor 294,968 is 2.


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 9702/294, 8142/968

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 9702/294, 8142/968?

Answer: LCM of Numerators as per given numbers 9702/294, 8142/968 is

LCM of Numerators i.e. for 9702,8142 is 13165614

GCF of denominators i.e. for 294,968 is 2.

Thus, LCM of Fractions is 6582807.Finally, LCM of Fractions for 9702/294, 8142/968 is 6582807.