Least Common Multiple of 86/249, 8788/4089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/249, 8788/4089 quickly i.e. 377884/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/249, 8788/4089 is 377884/3.

LCM(86/249, 8788/4089) = 377884/3

LCM of 86/249, 8788/4089

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 86/249,8788/4089

Given numbers are 86/249,8788/4089

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 86,8788

Least Common Multiple of Numerators i.e. LCM of 86,8788 is 377884.

GCF of Denominators means GCF of 249,4089 as per the given fractions.

GCF of 249,4089 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,8788

LCM of Fractions 86/249,8788/4089 is 377884/3

2 86, 8788
43, 4394

∴ So the LCM of the given numbers is 2 x 43 x 4394 = 377884

Least Common Multiple of 86,8788 with GCF Formula

Least Common Multiple of 86,8788 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 86,8788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,8788) = 2

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

GCF(86,8788) x common factors =2 x 1 = 2

LCM(86,8788) = ( 86 × 8788 ) / 2

LCM(86,8788) = 755768 / 2

LCM(86,8788) = 377884


Lets's calculate GCF of 249,4089

3 249, 4089
83, 1363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377884/3

Therefore the LCM of Fractions 86/249,8788/4089 is 377884/3

Greatest Common Factor of 249,4089 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,4089 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1,3,29,47,87,141,1363,4089

Greatest Common Factor

We found the factors 249,4089 . The biggest common factor number is the GCF number.
So the greatest common factor 249,4089 is 3.


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 86/249, 8788/4089

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 86/249, 8788/4089?

Answer: LCM of Numerators as per given numbers 86/249, 8788/4089 is

LCM of Numerators i.e. for 86,8788 is 377884

GCF of denominators i.e. for 249,4089 is 3.

Thus, LCM of Fractions is 377884/3.Finally, LCM of Fractions for 86/249, 8788/4089 is 377884/3.