Least Common Multiple of 9681/857, 3384/7644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9681/857, 3384/7644 quickly i.e. 10920168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9681/857, 3384/7644 is 10920168.

LCM(9681/857, 3384/7644) = 10920168

LCM of 9681/857, 3384/7644

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 9681/857,3384/7644

Given numbers are 9681/857,3384/7644

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 9681,3384

Least Common Multiple of Numerators i.e. LCM of 9681,3384 is 10920168.

GCF of Denominators means GCF of 857,7644 as per the given fractions.

GCF of 857,7644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9681,3384

LCM of Fractions 9681/857,3384/7644 is 10920168

3 9681, 3384
3227, 1128

∴ So the LCM of the given numbers is 3 x 3227 x 1128 = 10920168

Least Common Multiple of 9681,3384 with GCF Formula

Least Common Multiple of 9681,3384 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 9681,3384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9681,3384) = 3

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

GCF(9681,3384) x common factors =3 x 1 = 3

LCM(9681,3384) = ( 9681 × 3384 ) / 3

LCM(9681,3384) = 32760504 / 3

LCM(9681,3384) = 10920168


Lets's calculate GCF of 857,7644

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10920168/1

Therefore the LCM of Fractions 9681/857,3384/7644 is 10920168

Greatest Common Factor of 857,7644 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,7644 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644

Greatest Common Factor

We found the factors 857,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 857,7644 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9681/857, 3384/7644

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 9681/857, 3384/7644?

Answer: LCM of Numerators as per given numbers 9681/857, 3384/7644 is

LCM of Numerators i.e. for 9681,3384 is 10920168

GCF of denominators i.e. for 857,7644 is 1.

Thus, LCM of Fractions is 10920168.Finally, LCM of Fractions for 9681/857, 3384/7644 is 10920168.