Least Common Multiple of 9149/824, 8274/8891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9149/824, 8274/8891 quickly i.e. 10814118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9149/824, 8274/8891 is 10814118.

LCM(9149/824, 8274/8891) = 10814118

LCM of 9149/824, 8274/8891

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 9149/824,8274/8891

Given numbers are 9149/824,8274/8891

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 9149,8274

Least Common Multiple of Numerators i.e. LCM of 9149,8274 is 10814118.

GCF of Denominators means GCF of 824,8891 as per the given fractions.

GCF of 824,8891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9149,8274

LCM of Fractions 9149/824,8274/8891 is 10814118

7 9149, 8274
1307, 1182

∴ So the LCM of the given numbers is 7 x 1307 x 1182 = 10814118

Least Common Multiple of 9149,8274 with GCF Formula

Least Common Multiple of 9149,8274 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 9149,8274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9149,8274) = 7

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

GCF(9149,8274) x common factors =7 x 1 = 7

LCM(9149,8274) = ( 9149 × 8274 ) / 7

LCM(9149,8274) = 75698826 / 7

LCM(9149,8274) = 10814118


Lets's calculate GCF of 824,8891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10814118/1

Therefore the LCM of Fractions 9149/824,8274/8891 is 10814118

Greatest Common Factor of 824,8891 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,8891 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 8891

List of positive integer factors of 8891 that divides 8891 without a remainder.

1,17,523,8891

Greatest Common Factor

We found the factors 824,8891 . The biggest common factor number is the GCF number.
So the greatest common factor 824,8891 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 9149/824, 8274/8891

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 9149/824, 8274/8891?

Answer: LCM of Numerators as per given numbers 9149/824, 8274/8891 is

LCM of Numerators i.e. for 9149,8274 is 10814118

GCF of denominators i.e. for 824,8891 is 1.

Thus, LCM of Fractions is 10814118.Finally, LCM of Fractions for 9149/824, 8274/8891 is 10814118.