Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 595/722, 8806/658 quickly i.e. 22015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 595/722, 8806/658 is 22015.
LCM(595/722, 8806/658) = 22015
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 595/722,8806/658
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 595,8806
Least Common Multiple of Numerators i.e. LCM of 595,8806 is 44030.
GCF of Denominators means GCF of 722,658 as per the given fractions.
GCF of 722,658 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 595,8806
7 | 595, 8806 |
17 | 85, 1258 |
5, 74 |
∴ So the LCM of the given numbers is 7 x 17 x 5 x 74 = 44030
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 595,8806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,8806) = 119
common factors(in case of two or more numbers have common factors) = 1
GCF(595,8806) x common factors =119 x 1 = 119
LCM(595,8806) = ( 595 × 8806 ) / 119
LCM(595,8806) = 5239570 / 119
LCM(595,8806) = 44030
Lets's calculate GCF of 722,658
2 | 722, 658 |
361, 329 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44030/2
Therefore the LCM of Fractions 595/722,8806/658 is 22015
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 722,658 . The biggest common factor number is the GCF number.
So the greatest common factor 722,658 is 2.
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 595/722, 8806/658?
Answer: LCM of Numerators as per given numbers 595/722, 8806/658 is
LCM of Numerators i.e. for 595,8806 is 44030
GCF of denominators i.e. for 722,658 is 2.
Thus, LCM of Fractions is 22015.Finally, LCM of Fractions for 595/722, 8806/658 is 22015.