Least Common Multiple of 279/90, 306/5504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/90, 306/5504 quickly i.e. 4743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/90, 306/5504 is 4743.

LCM(279/90, 306/5504) = 4743

LCM of 279/90, 306/5504

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 279/90,306/5504

Given numbers are 279/90,306/5504

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 279,306

Least Common Multiple of Numerators i.e. LCM of 279,306 is 9486.

GCF of Denominators means GCF of 90,5504 as per the given fractions.

GCF of 90,5504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,306

LCM of Fractions 279/90,306/5504 is 4743

3 279, 306
3 93, 102
31, 34

∴ So the LCM of the given numbers is 3 x 3 x 31 x 34 = 9486

Least Common Multiple of 279,306 with GCF Formula

Least Common Multiple of 279,306 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 279,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,306) = 9

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

GCF(279,306) x common factors =9 x 1 = 9

LCM(279,306) = ( 279 × 306 ) / 9

LCM(279,306) = 85374 / 9

LCM(279,306) = 9486


Lets's calculate GCF of 90,5504

2 90, 5504
45, 2752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9486/2

Therefore the LCM of Fractions 279/90,306/5504 is 4743

Greatest Common Factor of 90,5504 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5504 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Greatest Common Factor

We found the factors 90,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5504 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 279/90, 306/5504

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 279/90, 306/5504?

Answer: LCM of Numerators as per given numbers 279/90, 306/5504 is

LCM of Numerators i.e. for 279,306 is 9486

GCF of denominators i.e. for 90,5504 is 2.

Thus, LCM of Fractions is 4743.Finally, LCM of Fractions for 279/90, 306/5504 is 4743.