Least Common Multiple of 157/81, 309/8217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/81, 309/8217 quickly i.e. 48513/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/81, 309/8217 is 48513/9.

LCM(157/81, 309/8217) = 48513/9

LCM of 157/81, 309/8217

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 157/81,309/8217

Given numbers are 157/81,309/8217

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 157,309

Least Common Multiple of Numerators i.e. LCM of 157,309 is 48513.

GCF of Denominators means GCF of 81,8217 as per the given fractions.

GCF of 81,8217 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,309

LCM of Fractions 157/81,309/8217 is 48513/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 48513

Least Common Multiple of 157,309 with GCF Formula

Least Common Multiple of 157,309 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 157,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,309) = 1

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

GCF(157,309) x common factors =1 x 1 = 1

LCM(157,309) = ( 157 × 309 ) / 1

LCM(157,309) = 48513 / 1

LCM(157,309) = 48513


Lets's calculate GCF of 81,8217

3 81, 8217
3 27, 2739
9, 913

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48513/9

Therefore the LCM of Fractions 157/81,309/8217 is 48513/9

Greatest Common Factor of 81,8217 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,8217 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1,3,9,11,33,83,99,249,747,913,2739,8217

Greatest Common Factor

We found the factors 81,8217 . The biggest common factor number is the GCF number.
So the greatest common factor 81,8217 is 9.


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 157/81, 309/8217

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 157/81, 309/8217?

Answer: LCM of Numerators as per given numbers 157/81, 309/8217 is

LCM of Numerators i.e. for 157,309 is 48513

GCF of denominators i.e. for 81,8217 is 9.

Thus, LCM of Fractions is 48513/9.Finally, LCM of Fractions for 157/81, 309/8217 is 48513/9.