Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9027/92, 9674/161 quickly i.e. 87327198/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9027/92, 9674/161 is 87327198/23.
LCM(9027/92, 9674/161) = 87327198/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9027/92,9674/161
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 9027,9674
Least Common Multiple of Numerators i.e. LCM of 9027,9674 is 87327198.
GCF of Denominators means GCF of 92,161 as per the given fractions.
GCF of 92,161 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9027,9674
Given numbers has no common factors except 1. So, there LCM is their product i.e 87327198
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 9027,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9027,9674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9027,9674) x common factors =1 x 1 = 1
LCM(9027,9674) = ( 9027 × 9674 ) / 1
LCM(9027,9674) = 87327198 / 1
LCM(9027,9674) = 87327198
Lets's calculate GCF of 92,161
23 | 92, 161 |
4, 7 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87327198/23
Therefore the LCM of Fractions 9027/92,9674/161 is 87327198/23
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 92,161 . The biggest common factor number is the GCF number.
So the greatest common factor 92,161 is 23.
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 9027/92, 9674/161?
Answer: LCM of Numerators as per given numbers 9027/92, 9674/161 is
LCM of Numerators i.e. for 9027,9674 is 87327198
GCF of denominators i.e. for 92,161 is 23.
Thus, LCM of Fractions is 87327198/23.Finally, LCM of Fractions for 9027/92, 9674/161 is 87327198/23.