Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/721, 9157/9260 quickly i.e. 769188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/721, 9157/9260 is 769188.
LCM(84/721, 9157/9260) = 769188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/721,9157/9260
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 84,9157
Least Common Multiple of Numerators i.e. LCM of 84,9157 is 769188.
GCF of Denominators means GCF of 721,9260 as per the given fractions.
GCF of 721,9260 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,9157
Given numbers has no common factors except 1. So, there LCM is their product i.e 769188
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 84,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,9157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,9157) x common factors =1 x 1 = 1
LCM(84,9157) = ( 84 × 9157 ) / 1
LCM(84,9157) = 769188 / 1
LCM(84,9157) = 769188
Lets's calculate GCF of 721,9260
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769188/1
Therefore the LCM of Fractions 84/721,9157/9260 is 769188
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 9260
List of positive integer factors of 9260 that divides 9260 without a remainder.
1,2,4,5,10,20,463,926,1852,2315,4630,9260
Greatest Common Factor
We found the factors 721,9260 . The biggest common factor number is the GCF number.
So the greatest common factor 721,9260 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 84/721, 9157/9260?
Answer: LCM of Numerators as per given numbers 84/721, 9157/9260 is
LCM of Numerators i.e. for 84,9157 is 769188
GCF of denominators i.e. for 721,9260 is 1.
Thus, LCM of Fractions is 769188.Finally, LCM of Fractions for 84/721, 9157/9260 is 769188.