Least Common Multiple of 288/41, 8012/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/41, 8012/131 quickly i.e. 576864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/41, 8012/131 is 576864.

LCM(288/41, 8012/131) = 576864

LCM of 288/41, 8012/131

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 288/41,8012/131

Given numbers are 288/41,8012/131

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 288,8012

Least Common Multiple of Numerators i.e. LCM of 288,8012 is 576864.

GCF of Denominators means GCF of 41,131 as per the given fractions.

GCF of 41,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,8012

LCM of Fractions 288/41,8012/131 is 576864

2 288, 8012
2 144, 4006
72, 2003

∴ So the LCM of the given numbers is 2 x 2 x 72 x 2003 = 576864

Least Common Multiple of 288,8012 with GCF Formula

Least Common Multiple of 288,8012 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 288,8012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,8012) = 4

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

GCF(288,8012) x common factors =4 x 1 = 4

LCM(288,8012) = ( 288 × 8012 ) / 4

LCM(288,8012) = 2307456 / 4

LCM(288,8012) = 576864


Lets's calculate GCF of 41,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576864/1

Therefore the LCM of Fractions 288/41,8012/131 is 576864

Greatest Common Factor of 41,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,131 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 41,131 . The biggest common factor number is the GCF number.
So the greatest common factor 41,131 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 288/41, 8012/131

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 288/41, 8012/131?

Answer: LCM of Numerators as per given numbers 288/41, 8012/131 is

LCM of Numerators i.e. for 288,8012 is 576864

GCF of denominators i.e. for 41,131 is 1.

Thus, LCM of Fractions is 576864.Finally, LCM of Fractions for 288/41, 8012/131 is 576864.