Least Common Multiple of 8040/214, 5393/9522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8040/214, 5393/9522 quickly i.e. 21679860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8040/214, 5393/9522 is 21679860.

LCM(8040/214, 5393/9522) = 21679860

LCM of 8040/214, 5393/9522

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 8040/214,5393/9522

Given numbers are 8040/214,5393/9522

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 8040,5393

Least Common Multiple of Numerators i.e. LCM of 8040,5393 is 43359720.

GCF of Denominators means GCF of 214,9522 as per the given fractions.

GCF of 214,9522 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8040,5393

LCM of Fractions 8040/214,5393/9522 is 21679860

Given numbers has no common factors except 1. So, there LCM is their product i.e 43359720

Least Common Multiple of 8040,5393 with GCF Formula

Least Common Multiple of 8040,5393 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 8040,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8040,5393) = 1

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

GCF(8040,5393) x common factors =1 x 1 = 1

LCM(8040,5393) = ( 8040 × 5393 ) / 1

LCM(8040,5393) = 43359720 / 1

LCM(8040,5393) = 43359720


Lets's calculate GCF of 214,9522

2 214, 9522
107, 4761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43359720/2

Therefore the LCM of Fractions 8040/214,5393/9522 is 21679860

Greatest Common Factor of 214,9522 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,9522 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522

Greatest Common Factor

We found the factors 214,9522 . The biggest common factor number is the GCF number.
So the greatest common factor 214,9522 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 8040/214, 5393/9522

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 8040/214, 5393/9522?

Answer: LCM of Numerators as per given numbers 8040/214, 5393/9522 is

LCM of Numerators i.e. for 8040,5393 is 43359720

GCF of denominators i.e. for 214,9522 is 2.

Thus, LCM of Fractions is 21679860.Finally, LCM of Fractions for 8040/214, 5393/9522 is 21679860.