Least Common Multiple of 8616/831, 8614/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8616/831, 8614/843 quickly i.e. 12369704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8616/831, 8614/843 is 12369704.

LCM(8616/831, 8614/843) = 12369704

LCM of 8616/831, 8614/843

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 8616/831,8614/843

Given numbers are 8616/831,8614/843

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 8616,8614

Least Common Multiple of Numerators i.e. LCM of 8616,8614 is 37109112.

GCF of Denominators means GCF of 831,843 as per the given fractions.

GCF of 831,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8616,8614

LCM of Fractions 8616/831,8614/843 is 12369704

2 8616, 8614
4308, 4307

∴ So the LCM of the given numbers is 2 x 4308 x 4307 = 37109112

Least Common Multiple of 8616,8614 with GCF Formula

Least Common Multiple of 8616,8614 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 8616,8614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8616,8614) = 2

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

GCF(8616,8614) x common factors =2 x 1 = 2

LCM(8616,8614) = ( 8616 × 8614 ) / 2

LCM(8616,8614) = 74218224 / 2

LCM(8616,8614) = 37109112


Lets's calculate GCF of 831,843

3 831, 843
277, 281

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37109112/3

Therefore the LCM of Fractions 8616/831,8614/843 is 12369704

Greatest Common Factor of 831,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,843 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 831,843 . The biggest common factor number is the GCF number.
So the greatest common factor 831,843 is 3.


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 8616/831, 8614/843

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 8616/831, 8614/843?

Answer: LCM of Numerators as per given numbers 8616/831, 8614/843 is

LCM of Numerators i.e. for 8616,8614 is 37109112

GCF of denominators i.e. for 831,843 is 3.

Thus, LCM of Fractions is 12369704.Finally, LCM of Fractions for 8616/831, 8614/843 is 12369704.