Least Common Multiple of 9642/442, 5152/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9642/442, 5152/686 quickly i.e. 12418896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9642/442, 5152/686 is 12418896.

LCM(9642/442, 5152/686) = 12418896

LCM of 9642/442, 5152/686

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 9642/442,5152/686

Given numbers are 9642/442,5152/686

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 9642,5152

Least Common Multiple of Numerators i.e. LCM of 9642,5152 is 24837792.

GCF of Denominators means GCF of 442,686 as per the given fractions.

GCF of 442,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9642,5152

LCM of Fractions 9642/442,5152/686 is 12418896

2 9642, 5152
4821, 2576

∴ So the LCM of the given numbers is 2 x 4821 x 2576 = 24837792

Least Common Multiple of 9642,5152 with GCF Formula

Least Common Multiple of 9642,5152 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 9642,5152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9642,5152) = 2

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

GCF(9642,5152) x common factors =2 x 1 = 2

LCM(9642,5152) = ( 9642 × 5152 ) / 2

LCM(9642,5152) = 49675584 / 2

LCM(9642,5152) = 24837792


Lets's calculate GCF of 442,686

2 442, 686
221, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24837792/2

Therefore the LCM of Fractions 9642/442,5152/686 is 12418896

Greatest Common Factor of 442,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,686 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 442,686 . The biggest common factor number is the GCF number.
So the greatest common factor 442,686 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 9642/442, 5152/686

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 9642/442, 5152/686?

Answer: LCM of Numerators as per given numbers 9642/442, 5152/686 is

LCM of Numerators i.e. for 9642,5152 is 24837792

GCF of denominators i.e. for 442,686 is 2.

Thus, LCM of Fractions is 12418896.Finally, LCM of Fractions for 9642/442, 5152/686 is 12418896.