Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5088/796, 7968/9982 quickly i.e. 211152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5088/796, 7968/9982 is 211152.
LCM(5088/796, 7968/9982) = 211152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5088/796,7968/9982
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 5088,7968
Least Common Multiple of Numerators i.e. LCM of 5088,7968 is 422304.
GCF of Denominators means GCF of 796,9982 as per the given fractions.
GCF of 796,9982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5088,7968
2 | 5088, 7968 |
2 | 2544, 3984 |
2 | 1272, 1992 |
2 | 636, 996 |
2 | 318, 498 |
3 | 159, 249 |
53, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 53 x 83 = 422304
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 5088,7968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5088,7968) = 96
common factors(in case of two or more numbers have common factors) = 1
GCF(5088,7968) x common factors =96 x 1 = 96
LCM(5088,7968) = ( 5088 × 7968 ) / 96
LCM(5088,7968) = 40541184 / 96
LCM(5088,7968) = 422304
Lets's calculate GCF of 796,9982
2 | 796, 9982 |
398, 4991 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422304/2
Therefore the LCM of Fractions 5088/796,7968/9982 is 211152
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 9982
List of positive integer factors of 9982 that divides 9982 without a remainder.
1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 796,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 796,9982 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 5088/796, 7968/9982?
Answer: LCM of Numerators as per given numbers 5088/796, 7968/9982 is
LCM of Numerators i.e. for 5088,7968 is 422304
GCF of denominators i.e. for 796,9982 is 2.
Thus, LCM of Fractions is 211152.Finally, LCM of Fractions for 5088/796, 7968/9982 is 211152.