Least Common Multiple of 8115/40, 8544/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8115/40, 8544/822 quickly i.e. 11555760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8115/40, 8544/822 is 11555760.

LCM(8115/40, 8544/822) = 11555760

LCM of 8115/40, 8544/822

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 8115/40,8544/822

Given numbers are 8115/40,8544/822

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 8115,8544

Least Common Multiple of Numerators i.e. LCM of 8115,8544 is 23111520.

GCF of Denominators means GCF of 40,822 as per the given fractions.

GCF of 40,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8115,8544

LCM of Fractions 8115/40,8544/822 is 11555760

3 8115, 8544
2705, 2848

∴ So the LCM of the given numbers is 3 x 2705 x 2848 = 23111520

Least Common Multiple of 8115,8544 with GCF Formula

Least Common Multiple of 8115,8544 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 8115,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8115,8544) = 3

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

GCF(8115,8544) x common factors =3 x 1 = 3

LCM(8115,8544) = ( 8115 × 8544 ) / 3

LCM(8115,8544) = 69334560 / 3

LCM(8115,8544) = 23111520


Lets's calculate GCF of 40,822

2 40, 822
20, 411

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23111520/2

Therefore the LCM of Fractions 8115/40,8544/822 is 11555760

Greatest Common Factor of 40,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,822 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 40,822 . The biggest common factor number is the GCF number.
So the greatest common factor 40,822 is 2.


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 8115/40, 8544/822

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 8115/40, 8544/822?

Answer: LCM of Numerators as per given numbers 8115/40, 8544/822 is

LCM of Numerators i.e. for 8115,8544 is 23111520

GCF of denominators i.e. for 40,822 is 2.

Thus, LCM of Fractions is 11555760.Finally, LCM of Fractions for 8115/40, 8544/822 is 11555760.