Least Common Multiple of 12/287, 9920/2588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/287, 9920/2588 quickly i.e. 29760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/287, 9920/2588 is 29760.

LCM(12/287, 9920/2588) = 29760

LCM of 12/287, 9920/2588

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 12/287,9920/2588

Given numbers are 12/287,9920/2588

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 12,9920

Least Common Multiple of Numerators i.e. LCM of 12,9920 is 29760.

GCF of Denominators means GCF of 287,2588 as per the given fractions.

GCF of 287,2588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,9920

LCM of Fractions 12/287,9920/2588 is 29760

2 12, 9920
2 6, 4960
3, 2480

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2480 = 29760

Least Common Multiple of 12,9920 with GCF Formula

Least Common Multiple of 12,9920 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 12,9920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,9920) = 4

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

GCF(12,9920) x common factors =4 x 1 = 4

LCM(12,9920) = ( 12 × 9920 ) / 4

LCM(12,9920) = 119040 / 4

LCM(12,9920) = 29760


Lets's calculate GCF of 287,2588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29760/1

Therefore the LCM of Fractions 12/287,9920/2588 is 29760

Greatest Common Factor of 287,2588 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,2588 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 2588

List of positive integer factors of 2588 that divides 2588 without a remainder.

1,2,4,647,1294,2588

Greatest Common Factor

We found the factors 287,2588 . The biggest common factor number is the GCF number.
So the greatest common factor 287,2588 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 12/287, 9920/2588

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 12/287, 9920/2588?

Answer: LCM of Numerators as per given numbers 12/287, 9920/2588 is

LCM of Numerators i.e. for 12,9920 is 29760

GCF of denominators i.e. for 287,2588 is 1.

Thus, LCM of Fractions is 29760.Finally, LCM of Fractions for 12/287, 9920/2588 is 29760.