Least Common Multiple of 2684/201, 3024/2869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2684/201, 3024/2869 quickly i.e. 2029104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2684/201, 3024/2869 is 2029104.

LCM(2684/201, 3024/2869) = 2029104

LCM of 2684/201, 3024/2869

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 2684/201,3024/2869

Given numbers are 2684/201,3024/2869

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 2684,3024

Least Common Multiple of Numerators i.e. LCM of 2684,3024 is 2029104.

GCF of Denominators means GCF of 201,2869 as per the given fractions.

GCF of 201,2869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2684,3024

LCM of Fractions 2684/201,3024/2869 is 2029104

2 2684, 3024
2 1342, 1512
671, 756

∴ So the LCM of the given numbers is 2 x 2 x 671 x 756 = 2029104

Least Common Multiple of 2684,3024 with GCF Formula

Least Common Multiple of 2684,3024 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 2684,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2684,3024) = 4

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

GCF(2684,3024) x common factors =4 x 1 = 4

LCM(2684,3024) = ( 2684 × 3024 ) / 4

LCM(2684,3024) = 8116416 / 4

LCM(2684,3024) = 2029104


Lets's calculate GCF of 201,2869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2029104/1

Therefore the LCM of Fractions 2684/201,3024/2869 is 2029104

Greatest Common Factor of 201,2869 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,2869 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 2869

List of positive integer factors of 2869 that divides 2869 without a remainder.

1,19,151,2869

Greatest Common Factor

We found the factors 201,2869 . The biggest common factor number is the GCF number.
So the greatest common factor 201,2869 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 2684/201, 3024/2869

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 2684/201, 3024/2869?

Answer: LCM of Numerators as per given numbers 2684/201, 3024/2869 is

LCM of Numerators i.e. for 2684,3024 is 2029104

GCF of denominators i.e. for 201,2869 is 1.

Thus, LCM of Fractions is 2029104.Finally, LCM of Fractions for 2684/201, 3024/2869 is 2029104.