Least Common Multiple of 5596/322, 8545/8281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5596/322, 8545/8281 quickly i.e. 47817820/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5596/322, 8545/8281 is 47817820/7.

LCM(5596/322, 8545/8281) = 47817820/7

LCM of 5596/322, 8545/8281

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 5596/322,8545/8281

Given numbers are 5596/322,8545/8281

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 5596,8545

Least Common Multiple of Numerators i.e. LCM of 5596,8545 is 47817820.

GCF of Denominators means GCF of 322,8281 as per the given fractions.

GCF of 322,8281 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5596,8545

LCM of Fractions 5596/322,8545/8281 is 47817820/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 47817820

Least Common Multiple of 5596,8545 with GCF Formula

Least Common Multiple of 5596,8545 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 5596,8545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5596,8545) = 1

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

GCF(5596,8545) x common factors =1 x 1 = 1

LCM(5596,8545) = ( 5596 × 8545 ) / 1

LCM(5596,8545) = 47817820 / 1

LCM(5596,8545) = 47817820


Lets's calculate GCF of 322,8281

7 322, 8281
46, 1183

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47817820/7

Therefore the LCM of Fractions 5596/322,8545/8281 is 47817820/7

Greatest Common Factor of 322,8281 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,8281 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 8281

List of positive integer factors of 8281 that divides 8281 without a remainder.

1,7,13,49,91,169,637,1183,8281

Greatest Common Factor

We found the factors 322,8281 . The biggest common factor number is the GCF number.
So the greatest common factor 322,8281 is 7.


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 5596/322, 8545/8281

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 5596/322, 8545/8281?

Answer: LCM of Numerators as per given numbers 5596/322, 8545/8281 is

LCM of Numerators i.e. for 5596,8545 is 47817820

GCF of denominators i.e. for 322,8281 is 7.

Thus, LCM of Fractions is 47817820/7.Finally, LCM of Fractions for 5596/322, 8545/8281 is 47817820/7.