Least Common Multiple of 8283/121, 7500/6179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8283/121, 7500/6179 quickly i.e. 20707500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8283/121, 7500/6179 is 20707500.

LCM(8283/121, 7500/6179) = 20707500

LCM of 8283/121, 7500/6179

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 8283/121,7500/6179

Given numbers are 8283/121,7500/6179

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 8283,7500

Least Common Multiple of Numerators i.e. LCM of 8283,7500 is 20707500.

GCF of Denominators means GCF of 121,6179 as per the given fractions.

GCF of 121,6179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8283,7500

LCM of Fractions 8283/121,7500/6179 is 20707500

3 8283, 7500
2761, 2500

∴ So the LCM of the given numbers is 3 x 2761 x 2500 = 20707500

Least Common Multiple of 8283,7500 with GCF Formula

Least Common Multiple of 8283,7500 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 8283,7500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8283,7500) = 3

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

GCF(8283,7500) x common factors =3 x 1 = 3

LCM(8283,7500) = ( 8283 × 7500 ) / 3

LCM(8283,7500) = 62122500 / 3

LCM(8283,7500) = 20707500


Lets's calculate GCF of 121,6179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20707500/1

Therefore the LCM of Fractions 8283/121,7500/6179 is 20707500

Greatest Common Factor of 121,6179 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,6179 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 6179

List of positive integer factors of 6179 that divides 6179 without a remainder.

1,37,167,6179

Greatest Common Factor

We found the factors 121,6179 . The biggest common factor number is the GCF number.
So the greatest common factor 121,6179 is 1.


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 8283/121, 7500/6179

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 8283/121, 7500/6179?

Answer: LCM of Numerators as per given numbers 8283/121, 7500/6179 is

LCM of Numerators i.e. for 8283,7500 is 20707500

GCF of denominators i.e. for 121,6179 is 1.

Thus, LCM of Fractions is 20707500.Finally, LCM of Fractions for 8283/121, 7500/6179 is 20707500.