Least Common Multiple of 585/96, 2601/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/96, 2601/888 quickly i.e. 169065/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/96, 2601/888 is 169065/24.

LCM(585/96, 2601/888) = 169065/24

LCM of 585/96, 2601/888

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 585/96,2601/888

Given numbers are 585/96,2601/888

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 585,2601

Least Common Multiple of Numerators i.e. LCM of 585,2601 is 169065.

GCF of Denominators means GCF of 96,888 as per the given fractions.

GCF of 96,888 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,2601

LCM of Fractions 585/96,2601/888 is 169065/24

3 585, 2601
3 195, 867
65, 289

∴ So the LCM of the given numbers is 3 x 3 x 65 x 289 = 169065

Least Common Multiple of 585,2601 with GCF Formula

Least Common Multiple of 585,2601 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 585,2601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,2601) = 9

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

GCF(585,2601) x common factors =9 x 1 = 9

LCM(585,2601) = ( 585 × 2601 ) / 9

LCM(585,2601) = 1521585 / 9

LCM(585,2601) = 169065


Lets's calculate GCF of 96,888

2 96, 888
2 48, 444
2 24, 222
3 12, 111
4, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169065/24

Therefore the LCM of Fractions 585/96,2601/888 is 169065/24

Greatest Common Factor of 96,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,888 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 96,888 . The biggest common factor number is the GCF number.
So the greatest common factor 96,888 is 24.


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 585/96, 2601/888

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 585/96, 2601/888?

Answer: LCM of Numerators as per given numbers 585/96, 2601/888 is

LCM of Numerators i.e. for 585,2601 is 169065

GCF of denominators i.e. for 96,888 is 24.

Thus, LCM of Fractions is 169065/24.Finally, LCM of Fractions for 585/96, 2601/888 is 169065/24.