Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/722, 9007/1135 quickly i.e. 747581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/722, 9007/1135 is 747581.
LCM(83/722, 9007/1135) = 747581
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/722,9007/1135
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 83,9007
Least Common Multiple of Numerators i.e. LCM of 83,9007 is 747581.
GCF of Denominators means GCF of 722,1135 as per the given fractions.
GCF of 722,1135 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,9007
Given numbers has no common factors except 1. So, there LCM is their product i.e 747581
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 83,9007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,9007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,9007) x common factors =1 x 1 = 1
LCM(83,9007) = ( 83 × 9007 ) / 1
LCM(83,9007) = 747581 / 1
LCM(83,9007) = 747581
Lets's calculate GCF of 722,1135
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 747581/1
Therefore the LCM of Fractions 83/722,9007/1135 is 747581
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 1135
List of positive integer factors of 1135 that divides 1135 without a remainder.
1,5,227,1135
Greatest Common Factor
We found the factors 722,1135 . The biggest common factor number is the GCF number.
So the greatest common factor 722,1135 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 83/722, 9007/1135?
Answer: LCM of Numerators as per given numbers 83/722, 9007/1135 is
LCM of Numerators i.e. for 83,9007 is 747581
GCF of denominators i.e. for 722,1135 is 1.
Thus, LCM of Fractions is 747581.Finally, LCM of Fractions for 83/722, 9007/1135 is 747581.