Least Common Multiple of 8714/43, 6667/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8714/43, 6667/387 quickly i.e. 58096238/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8714/43, 6667/387 is 58096238/43.

LCM(8714/43, 6667/387) = 58096238/43

LCM of 8714/43, 6667/387

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 8714/43,6667/387

Given numbers are 8714/43,6667/387

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 8714,6667

Least Common Multiple of Numerators i.e. LCM of 8714,6667 is 58096238.

GCF of Denominators means GCF of 43,387 as per the given fractions.

GCF of 43,387 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8714,6667

LCM of Fractions 8714/43,6667/387 is 58096238/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 58096238

Least Common Multiple of 8714,6667 with GCF Formula

Least Common Multiple of 8714,6667 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 8714,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8714,6667) = 1

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

GCF(8714,6667) x common factors =1 x 1 = 1

LCM(8714,6667) = ( 8714 × 6667 ) / 1

LCM(8714,6667) = 58096238 / 1

LCM(8714,6667) = 58096238


Lets's calculate GCF of 43,387

43 43, 387
1, 9

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58096238/43

Therefore the LCM of Fractions 8714/43,6667/387 is 58096238/43

Greatest Common Factor of 43,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,387 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 43,387 . The biggest common factor number is the GCF number.
So the greatest common factor 43,387 is 43.


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 8714/43, 6667/387

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 8714/43, 6667/387?

Answer: LCM of Numerators as per given numbers 8714/43, 6667/387 is

LCM of Numerators i.e. for 8714,6667 is 58096238

GCF of denominators i.e. for 43,387 is 43.

Thus, LCM of Fractions is 58096238/43.Finally, LCM of Fractions for 8714/43, 6667/387 is 58096238/43.