Least Common Multiple of 279/75, 209/8920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/75, 209/8920 quickly i.e. 58311/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/75, 209/8920 is 58311/5.

LCM(279/75, 209/8920) = 58311/5

LCM of 279/75, 209/8920

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 279/75,209/8920

Given numbers are 279/75,209/8920

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 279,209

Least Common Multiple of Numerators i.e. LCM of 279,209 is 58311.

GCF of Denominators means GCF of 75,8920 as per the given fractions.

GCF of 75,8920 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,209

LCM of Fractions 279/75,209/8920 is 58311/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 58311

Least Common Multiple of 279,209 with GCF Formula

Least Common Multiple of 279,209 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 279,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,209) = 1

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

GCF(279,209) x common factors =1 x 1 = 1

LCM(279,209) = ( 279 × 209 ) / 1

LCM(279,209) = 58311 / 1

LCM(279,209) = 58311


Lets's calculate GCF of 75,8920

5 75, 8920
15, 1784

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58311/5

Therefore the LCM of Fractions 279/75,209/8920 is 58311/5

Greatest Common Factor of 75,8920 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,8920 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 8920

List of positive integer factors of 8920 that divides 8920 without a remainder.

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Greatest Common Factor

We found the factors 75,8920 . The biggest common factor number is the GCF number.
So the greatest common factor 75,8920 is 5.


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 279/75, 209/8920

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 279/75, 209/8920?

Answer: LCM of Numerators as per given numbers 279/75, 209/8920 is

LCM of Numerators i.e. for 279,209 is 58311

GCF of denominators i.e. for 75,8920 is 5.

Thus, LCM of Fractions is 58311/5.Finally, LCM of Fractions for 279/75, 209/8920 is 58311/5.