Least Common Multiple of 2124/249, 3989/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2124/249, 3989/865 quickly i.e. 8472636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2124/249, 3989/865 is 8472636.

LCM(2124/249, 3989/865) = 8472636

LCM of 2124/249, 3989/865

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 2124/249,3989/865

Given numbers are 2124/249,3989/865

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 2124,3989

Least Common Multiple of Numerators i.e. LCM of 2124,3989 is 8472636.

GCF of Denominators means GCF of 249,865 as per the given fractions.

GCF of 249,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2124,3989

LCM of Fractions 2124/249,3989/865 is 8472636

Given numbers has no common factors except 1. So, there LCM is their product i.e 8472636

Least Common Multiple of 2124,3989 with GCF Formula

Least Common Multiple of 2124,3989 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 2124,3989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2124,3989) = 1

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

GCF(2124,3989) x common factors =1 x 1 = 1

LCM(2124,3989) = ( 2124 × 3989 ) / 1

LCM(2124,3989) = 8472636 / 1

LCM(2124,3989) = 8472636


Lets's calculate GCF of 249,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8472636/1

Therefore the LCM of Fractions 2124/249,3989/865 is 8472636

Greatest Common Factor of 249,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,865 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 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 249,865 . The biggest common factor number is the GCF number.
So the greatest common factor 249,865 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 2124/249, 3989/865

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 2124/249, 3989/865?

Answer: LCM of Numerators as per given numbers 2124/249, 3989/865 is

LCM of Numerators i.e. for 2124,3989 is 8472636

GCF of denominators i.e. for 249,865 is 1.

Thus, LCM of Fractions is 8472636.Finally, LCM of Fractions for 2124/249, 3989/865 is 8472636.