Least Common Multiple of 6682/78, 8486/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6682/78, 8486/871 quickly i.e. 2180902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6682/78, 8486/871 is 2180902.

LCM(6682/78, 8486/871) = 2180902

LCM of 6682/78, 8486/871

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 6682/78,8486/871

Given numbers are 6682/78,8486/871

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 6682,8486

Least Common Multiple of Numerators i.e. LCM of 6682,8486 is 28351726.

GCF of Denominators means GCF of 78,871 as per the given fractions.

GCF of 78,871 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6682,8486

LCM of Fractions 6682/78,8486/871 is 2180902

2 6682, 8486
3341, 4243

∴ So the LCM of the given numbers is 2 x 3341 x 4243 = 28351726

Least Common Multiple of 6682,8486 with GCF Formula

Least Common Multiple of 6682,8486 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 6682,8486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6682,8486) = 2

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

GCF(6682,8486) x common factors =2 x 1 = 2

LCM(6682,8486) = ( 6682 × 8486 ) / 2

LCM(6682,8486) = 56703452 / 2

LCM(6682,8486) = 28351726


Lets's calculate GCF of 78,871

13 78, 871
6, 67

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28351726/13

Therefore the LCM of Fractions 6682/78,8486/871 is 2180902

Greatest Common Factor of 78,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,871 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 78,871 . The biggest common factor number is the GCF number.
So the greatest common factor 78,871 is 13.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6682/78, 8486/871

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 6682/78, 8486/871?

Answer: LCM of Numerators as per given numbers 6682/78, 8486/871 is

LCM of Numerators i.e. for 6682,8486 is 28351726

GCF of denominators i.e. for 78,871 is 13.

Thus, LCM of Fractions is 2180902.Finally, LCM of Fractions for 6682/78, 8486/871 is 2180902.