Least Common Multiple of 8065/979, 1720/8983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8065/979, 1720/8983 quickly i.e. 2774360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8065/979, 1720/8983 is 2774360.

LCM(8065/979, 1720/8983) = 2774360

LCM of 8065/979, 1720/8983

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 8065/979,1720/8983

Given numbers are 8065/979,1720/8983

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 8065,1720

Least Common Multiple of Numerators i.e. LCM of 8065,1720 is 2774360.

GCF of Denominators means GCF of 979,8983 as per the given fractions.

GCF of 979,8983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8065,1720

LCM of Fractions 8065/979,1720/8983 is 2774360

5 8065, 1720
1613, 344

∴ So the LCM of the given numbers is 5 x 1613 x 344 = 2774360

Least Common Multiple of 8065,1720 with GCF Formula

Least Common Multiple of 8065,1720 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 8065,1720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8065,1720) = 5

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

GCF(8065,1720) x common factors =5 x 1 = 5

LCM(8065,1720) = ( 8065 × 1720 ) / 5

LCM(8065,1720) = 13871800 / 5

LCM(8065,1720) = 2774360


Lets's calculate GCF of 979,8983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2774360/1

Therefore the LCM of Fractions 8065/979,1720/8983 is 2774360

Greatest Common Factor of 979,8983 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,8983 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 8983

List of positive integer factors of 8983 that divides 8983 without a remainder.

1,13,691,8983

Greatest Common Factor

We found the factors 979,8983 . The biggest common factor number is the GCF number.
So the greatest common factor 979,8983 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8065/979, 1720/8983

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 8065/979, 1720/8983?

Answer: LCM of Numerators as per given numbers 8065/979, 1720/8983 is

LCM of Numerators i.e. for 8065,1720 is 2774360

GCF of denominators i.e. for 979,8983 is 1.

Thus, LCM of Fractions is 2774360.Finally, LCM of Fractions for 8065/979, 1720/8983 is 2774360.