Least Common Multiple of 89/796, 2309/7327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/796, 2309/7327 quickly i.e. 205501 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/796, 2309/7327 is 205501.

LCM(89/796, 2309/7327) = 205501

LCM of 89/796, 2309/7327

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 89/796,2309/7327

Given numbers are 89/796,2309/7327

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 89,2309

Least Common Multiple of Numerators i.e. LCM of 89,2309 is 205501.

GCF of Denominators means GCF of 796,7327 as per the given fractions.

GCF of 796,7327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,2309

LCM of Fractions 89/796,2309/7327 is 205501

Given numbers has no common factors except 1. So, there LCM is their product i.e 205501

Least Common Multiple of 89,2309 with GCF Formula

Least Common Multiple of 89,2309 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 89,2309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,2309) = 1

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

GCF(89,2309) x common factors =1 x 1 = 1

LCM(89,2309) = ( 89 × 2309 ) / 1

LCM(89,2309) = 205501 / 1

LCM(89,2309) = 205501


Lets's calculate GCF of 796,7327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205501/1

Therefore the LCM of Fractions 89/796,2309/7327 is 205501

Greatest Common Factor of 796,7327 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,7327 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 7327

List of positive integer factors of 7327 that divides 7327 without a remainder.

1,17,431,7327

Greatest Common Factor

We found the factors 796,7327 . The biggest common factor number is the GCF number.
So the greatest common factor 796,7327 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 89/796, 2309/7327

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 89/796, 2309/7327?

Answer: LCM of Numerators as per given numbers 89/796, 2309/7327 is

LCM of Numerators i.e. for 89,2309 is 205501

GCF of denominators i.e. for 796,7327 is 1.

Thus, LCM of Fractions is 205501.Finally, LCM of Fractions for 89/796, 2309/7327 is 205501.