Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9064/153, 8842/9110 quickly i.e. 40071944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9064/153, 8842/9110 is 40071944.
LCM(9064/153, 8842/9110) = 40071944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9064/153,8842/9110
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 9064,8842
Least Common Multiple of Numerators i.e. LCM of 9064,8842 is 40071944.
GCF of Denominators means GCF of 153,9110 as per the given fractions.
GCF of 153,9110 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9064,8842
2 | 9064, 8842 |
4532, 4421 |
∴ So the LCM of the given numbers is 2 x 4532 x 4421 = 40071944
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 9064,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9064,8842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9064,8842) x common factors =2 x 1 = 2
LCM(9064,8842) = ( 9064 × 8842 ) / 2
LCM(9064,8842) = 80143888 / 2
LCM(9064,8842) = 40071944
Lets's calculate GCF of 153,9110
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40071944/1
Therefore the LCM of Fractions 9064/153,8842/9110 is 40071944
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 9110
List of positive integer factors of 9110 that divides 9110 without a remainder.
1,2,5,10,911,1822,4555,9110
Greatest Common Factor
We found the factors 153,9110 . The biggest common factor number is the GCF number.
So the greatest common factor 153,9110 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 9064/153, 8842/9110?
Answer: LCM of Numerators as per given numbers 9064/153, 8842/9110 is
LCM of Numerators i.e. for 9064,8842 is 40071944
GCF of denominators i.e. for 153,9110 is 1.
Thus, LCM of Fractions is 40071944.Finally, LCM of Fractions for 9064/153, 8842/9110 is 40071944.