Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9080/791, 7089/8208 quickly i.e. 64368120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9080/791, 7089/8208 is 64368120.
LCM(9080/791, 7089/8208) = 64368120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9080/791,7089/8208
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 9080,7089
Least Common Multiple of Numerators i.e. LCM of 9080,7089 is 64368120.
GCF of Denominators means GCF of 791,8208 as per the given fractions.
GCF of 791,8208 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9080,7089
Given numbers has no common factors except 1. So, there LCM is their product i.e 64368120
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 9080,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9080,7089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9080,7089) x common factors =1 x 1 = 1
LCM(9080,7089) = ( 9080 × 7089 ) / 1
LCM(9080,7089) = 64368120 / 1
LCM(9080,7089) = 64368120
Lets's calculate GCF of 791,8208
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64368120/1
Therefore the LCM of Fractions 9080/791,7089/8208 is 64368120
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 8208
List of positive integer factors of 8208 that divides 8208 without a remainder.
1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Greatest Common Factor
We found the factors 791,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 791,8208 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 9080/791, 7089/8208?
Answer: LCM of Numerators as per given numbers 9080/791, 7089/8208 is
LCM of Numerators i.e. for 9080,7089 is 64368120
GCF of denominators i.e. for 791,8208 is 1.
Thus, LCM of Fractions is 64368120.Finally, LCM of Fractions for 9080/791, 7089/8208 is 64368120.