Least Common Multiple of 2675/240, 5835/9867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2675/240, 5835/9867 quickly i.e. 1040575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2675/240, 5835/9867 is 1040575.

LCM(2675/240, 5835/9867) = 1040575

LCM of 2675/240, 5835/9867

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 2675/240,5835/9867

Given numbers are 2675/240,5835/9867

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 2675,5835

Least Common Multiple of Numerators i.e. LCM of 2675,5835 is 3121725.

GCF of Denominators means GCF of 240,9867 as per the given fractions.

GCF of 240,9867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2675,5835

LCM of Fractions 2675/240,5835/9867 is 1040575

5 2675, 5835
535, 1167

∴ So the LCM of the given numbers is 5 x 535 x 1167 = 3121725

Least Common Multiple of 2675,5835 with GCF Formula

Least Common Multiple of 2675,5835 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 2675,5835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2675,5835) = 5

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

GCF(2675,5835) x common factors =5 x 1 = 5

LCM(2675,5835) = ( 2675 × 5835 ) / 5

LCM(2675,5835) = 15608625 / 5

LCM(2675,5835) = 3121725


Lets's calculate GCF of 240,9867

3 240, 9867
80, 3289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3121725/3

Therefore the LCM of Fractions 2675/240,5835/9867 is 1040575

Greatest Common Factor of 240,9867 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,9867 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 9867

List of positive integer factors of 9867 that divides 9867 without a remainder.

1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867

Greatest Common Factor

We found the factors 240,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 240,9867 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 2675/240, 5835/9867

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 2675/240, 5835/9867?

Answer: LCM of Numerators as per given numbers 2675/240, 5835/9867 is

LCM of Numerators i.e. for 2675,5835 is 3121725

GCF of denominators i.e. for 240,9867 is 3.

Thus, LCM of Fractions is 1040575.Finally, LCM of Fractions for 2675/240, 5835/9867 is 1040575.