Least Common Multiple of 5849/279, 5161/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5849/279, 5161/180 quickly i.e. 30186689/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5849/279, 5161/180 is 30186689/9.

LCM(5849/279, 5161/180) = 30186689/9

LCM of 5849/279, 5161/180

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 5849/279,5161/180

Given numbers are 5849/279,5161/180

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 5849,5161

Least Common Multiple of Numerators i.e. LCM of 5849,5161 is 30186689.

GCF of Denominators means GCF of 279,180 as per the given fractions.

GCF of 279,180 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5849,5161

LCM of Fractions 5849/279,5161/180 is 30186689/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 30186689

Least Common Multiple of 5849,5161 with GCF Formula

Least Common Multiple of 5849,5161 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 5849,5161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5849,5161) = 1

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

GCF(5849,5161) x common factors =1 x 1 = 1

LCM(5849,5161) = ( 5849 × 5161 ) / 1

LCM(5849,5161) = 30186689 / 1

LCM(5849,5161) = 30186689


Lets's calculate GCF of 279,180

3 279, 180
3 93, 60
31, 20

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30186689/9

Therefore the LCM of Fractions 5849/279,5161/180 is 30186689/9

Greatest Common Factor of 279,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,180 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 279,180 . The biggest common factor number is the GCF number.
So the greatest common factor 279,180 is 9.


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 5849/279, 5161/180

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 5849/279, 5161/180?

Answer: LCM of Numerators as per given numbers 5849/279, 5161/180 is

LCM of Numerators i.e. for 5849,5161 is 30186689

GCF of denominators i.e. for 279,180 is 9.

Thus, LCM of Fractions is 30186689/9.Finally, LCM of Fractions for 5849/279, 5161/180 is 30186689/9.