Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8279/232, 9553/185 quickly i.e. 79089287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8279/232, 9553/185 is 79089287.
LCM(8279/232, 9553/185) = 79089287
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8279/232,9553/185
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 8279,9553
Least Common Multiple of Numerators i.e. LCM of 8279,9553 is 79089287.
GCF of Denominators means GCF of 232,185 as per the given fractions.
GCF of 232,185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8279,9553
Given numbers has no common factors except 1. So, there LCM is their product i.e 79089287
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 8279,9553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8279,9553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8279,9553) x common factors =1 x 1 = 1
LCM(8279,9553) = ( 8279 × 9553 ) / 1
LCM(8279,9553) = 79089287 / 1
LCM(8279,9553) = 79089287
Lets's calculate GCF of 232,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79089287/1
Therefore the LCM of Fractions 8279/232,9553/185 is 79089287
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 232,185 . The biggest common factor number is the GCF number.
So the greatest common factor 232,185 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 8279/232, 9553/185?
Answer: LCM of Numerators as per given numbers 8279/232, 9553/185 is
LCM of Numerators i.e. for 8279,9553 is 79089287
GCF of denominators i.e. for 232,185 is 1.
Thus, LCM of Fractions is 79089287.Finally, LCM of Fractions for 8279/232, 9553/185 is 79089287.