Least Common Multiple of 84/286, 4440/5229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/286, 4440/5229 quickly i.e. 31080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/286, 4440/5229 is 31080.

LCM(84/286, 4440/5229) = 31080

LCM of 84/286, 4440/5229

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 84/286,4440/5229

Given numbers are 84/286,4440/5229

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 84,4440

Least Common Multiple of Numerators i.e. LCM of 84,4440 is 31080.

GCF of Denominators means GCF of 286,5229 as per the given fractions.

GCF of 286,5229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,4440

LCM of Fractions 84/286,4440/5229 is 31080

2 84, 4440
2 42, 2220
3 21, 1110
7, 370

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 370 = 31080

Least Common Multiple of 84,4440 with GCF Formula

Least Common Multiple of 84,4440 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 84,4440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,4440) = 12

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

GCF(84,4440) x common factors =12 x 1 = 12

LCM(84,4440) = ( 84 × 4440 ) / 12

LCM(84,4440) = 372960 / 12

LCM(84,4440) = 31080


Lets's calculate GCF of 286,5229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31080/1

Therefore the LCM of Fractions 84/286,4440/5229 is 31080

Greatest Common Factor of 286,5229 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,5229 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1,3,7,9,21,63,83,249,581,747,1743,5229

Greatest Common Factor

We found the factors 286,5229 . The biggest common factor number is the GCF number.
So the greatest common factor 286,5229 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 84/286, 4440/5229

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 84/286, 4440/5229?

Answer: LCM of Numerators as per given numbers 84/286, 4440/5229 is

LCM of Numerators i.e. for 84,4440 is 31080

GCF of denominators i.e. for 286,5229 is 1.

Thus, LCM of Fractions is 31080.Finally, LCM of Fractions for 84/286, 4440/5229 is 31080.