Least Common Multiple of 279/40, 3084/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/40, 3084/162 quickly i.e. 143406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/40, 3084/162 is 143406.

LCM(279/40, 3084/162) = 143406

LCM of 279/40, 3084/162

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 279/40,3084/162

Given numbers are 279/40,3084/162

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 279,3084

Least Common Multiple of Numerators i.e. LCM of 279,3084 is 286812.

GCF of Denominators means GCF of 40,162 as per the given fractions.

GCF of 40,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,3084

LCM of Fractions 279/40,3084/162 is 143406

3 279, 3084
93, 1028

∴ So the LCM of the given numbers is 3 x 93 x 1028 = 286812

Least Common Multiple of 279,3084 with GCF Formula

Least Common Multiple of 279,3084 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 279,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,3084) = 3

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

GCF(279,3084) x common factors =3 x 1 = 3

LCM(279,3084) = ( 279 × 3084 ) / 3

LCM(279,3084) = 860436 / 3

LCM(279,3084) = 286812


Lets's calculate GCF of 40,162

2 40, 162
20, 81

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286812/2

Therefore the LCM of Fractions 279/40,3084/162 is 143406

Greatest Common Factor of 40,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,162 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 40,162 . The biggest common factor number is the GCF number.
So the greatest common factor 40,162 is 2.


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 279/40, 3084/162

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 279/40, 3084/162?

Answer: LCM of Numerators as per given numbers 279/40, 3084/162 is

LCM of Numerators i.e. for 279,3084 is 286812

GCF of denominators i.e. for 40,162 is 2.

Thus, LCM of Fractions is 143406.Finally, LCM of Fractions for 279/40, 3084/162 is 143406.