Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5952/879, 7326/8211 quickly i.e. 2422464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5952/879, 7326/8211 is 2422464.
LCM(5952/879, 7326/8211) = 2422464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5952/879,7326/8211
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 5952,7326
Least Common Multiple of Numerators i.e. LCM of 5952,7326 is 7267392.
GCF of Denominators means GCF of 879,8211 as per the given fractions.
GCF of 879,8211 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5952,7326
2 | 5952, 7326 |
3 | 2976, 3663 |
992, 1221 |
∴ So the LCM of the given numbers is 2 x 3 x 992 x 1221 = 7267392
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 5952,7326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5952,7326) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(5952,7326) x common factors =6 x 1 = 6
LCM(5952,7326) = ( 5952 × 7326 ) / 6
LCM(5952,7326) = 43604352 / 6
LCM(5952,7326) = 7267392
Lets's calculate GCF of 879,8211
3 | 879, 8211 |
293, 2737 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7267392/3
Therefore the LCM of Fractions 5952/879,7326/8211 is 2422464
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 8211
List of positive integer factors of 8211 that divides 8211 without a remainder.
1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Greatest Common Factor
We found the factors 879,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 879,8211 is 3.
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 5952/879, 7326/8211?
Answer: LCM of Numerators as per given numbers 5952/879, 7326/8211 is
LCM of Numerators i.e. for 5952,7326 is 7267392
GCF of denominators i.e. for 879,8211 is 3.
Thus, LCM of Fractions is 2422464.Finally, LCM of Fractions for 5952/879, 7326/8211 is 2422464.