Least Common Multiple of 980/387, 6807/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/387, 6807/817 quickly i.e. 6670860/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/387, 6807/817 is 6670860/43.

LCM(980/387, 6807/817) = 6670860/43

LCM of 980/387, 6807/817

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 980/387,6807/817

Given numbers are 980/387,6807/817

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 980,6807

Least Common Multiple of Numerators i.e. LCM of 980,6807 is 6670860.

GCF of Denominators means GCF of 387,817 as per the given fractions.

GCF of 387,817 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,6807

LCM of Fractions 980/387,6807/817 is 6670860/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 6670860

Least Common Multiple of 980,6807 with GCF Formula

Least Common Multiple of 980,6807 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 980,6807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,6807) = 1

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

GCF(980,6807) x common factors =1 x 1 = 1

LCM(980,6807) = ( 980 × 6807 ) / 1

LCM(980,6807) = 6670860 / 1

LCM(980,6807) = 6670860


Lets's calculate GCF of 387,817

43 387, 817
9, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6670860/43

Therefore the LCM of Fractions 980/387,6807/817 is 6670860/43

Greatest Common Factor of 387,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,817 By Matching Biggest Common Factor Method

Factors of 387

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

1,3,9,43,129,387

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 387,817 . The biggest common factor number is the GCF number.
So the greatest common factor 387,817 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 980/387, 6807/817

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 980/387, 6807/817?

Answer: LCM of Numerators as per given numbers 980/387, 6807/817 is

LCM of Numerators i.e. for 980,6807 is 6670860

GCF of denominators i.e. for 387,817 is 43.

Thus, LCM of Fractions is 6670860/43.Finally, LCM of Fractions for 980/387, 6807/817 is 6670860/43.