Least Common Multiple of 9114/213, 8249/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9114/213, 8249/497 quickly i.e. 75181386/71 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9114/213, 8249/497 is 75181386/71.

LCM(9114/213, 8249/497) = 75181386/71

LCM of 9114/213, 8249/497

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 9114/213,8249/497

Given numbers are 9114/213,8249/497

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 9114,8249

Least Common Multiple of Numerators i.e. LCM of 9114,8249 is 75181386.

GCF of Denominators means GCF of 213,497 as per the given fractions.

GCF of 213,497 is 71 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9114,8249

LCM of Fractions 9114/213,8249/497 is 75181386/71

Given numbers has no common factors except 1. So, there LCM is their product i.e 75181386

Least Common Multiple of 9114,8249 with GCF Formula

Least Common Multiple of 9114,8249 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 9114,8249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9114,8249) = 1

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

GCF(9114,8249) x common factors =1 x 1 = 1

LCM(9114,8249) = ( 9114 × 8249 ) / 1

LCM(9114,8249) = 75181386 / 1

LCM(9114,8249) = 75181386


Lets's calculate GCF of 213,497

71 213, 497
3, 7

∴ So the GCF of the given numbers is 71 = 71

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75181386/71

Therefore the LCM of Fractions 9114/213,8249/497 is 75181386/71

Greatest Common Factor of 213,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,497 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 213,497 . The biggest common factor number is the GCF number.
So the greatest common factor 213,497 is 71.


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 9114/213, 8249/497

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 9114/213, 8249/497?

Answer: LCM of Numerators as per given numbers 9114/213, 8249/497 is

LCM of Numerators i.e. for 9114,8249 is 75181386

GCF of denominators i.e. for 213,497 is 71.

Thus, LCM of Fractions is 75181386/71.Finally, LCM of Fractions for 9114/213, 8249/497 is 75181386/71.