Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9843/167, 6366/1157 quickly i.e. 20886846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9843/167, 6366/1157 is 20886846.
LCM(9843/167, 6366/1157) = 20886846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9843/167,6366/1157
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 9843,6366
Least Common Multiple of Numerators i.e. LCM of 9843,6366 is 20886846.
GCF of Denominators means GCF of 167,1157 as per the given fractions.
GCF of 167,1157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9843,6366
3 | 9843, 6366 |
3281, 2122 |
∴ So the LCM of the given numbers is 3 x 3281 x 2122 = 20886846
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 9843,6366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9843,6366) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9843,6366) x common factors =3 x 1 = 3
LCM(9843,6366) = ( 9843 × 6366 ) / 3
LCM(9843,6366) = 62660538 / 3
LCM(9843,6366) = 20886846
Lets's calculate GCF of 167,1157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20886846/1
Therefore the LCM of Fractions 9843/167,6366/1157 is 20886846
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 1157
List of positive integer factors of 1157 that divides 1157 without a remainder.
1,13,89,1157
Greatest Common Factor
We found the factors 167,1157 . The biggest common factor number is the GCF number.
So the greatest common factor 167,1157 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 9843/167, 6366/1157?
Answer: LCM of Numerators as per given numbers 9843/167, 6366/1157 is
LCM of Numerators i.e. for 9843,6366 is 20886846
GCF of denominators i.e. for 167,1157 is 1.
Thus, LCM of Fractions is 20886846.Finally, LCM of Fractions for 9843/167, 6366/1157 is 20886846.