Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4802/825, 7958/366 quickly i.e. 19107158/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4802/825, 7958/366 is 19107158/3.
LCM(4802/825, 7958/366) = 19107158/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4802/825,7958/366
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 4802,7958
Least Common Multiple of Numerators i.e. LCM of 4802,7958 is 19107158.
GCF of Denominators means GCF of 825,366 as per the given fractions.
GCF of 825,366 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4802,7958
2 | 4802, 7958 |
2401, 3979 |
∴ So the LCM of the given numbers is 2 x 2401 x 3979 = 19107158
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 4802,7958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4802,7958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4802,7958) x common factors =2 x 1 = 2
LCM(4802,7958) = ( 4802 × 7958 ) / 2
LCM(4802,7958) = 38214316 / 2
LCM(4802,7958) = 19107158
Lets's calculate GCF of 825,366
3 | 825, 366 |
275, 122 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19107158/3
Therefore the LCM of Fractions 4802/825,7958/366 is 19107158/3
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 825,366 . The biggest common factor number is the GCF number.
So the greatest common factor 825,366 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 4802/825, 7958/366?
Answer: LCM of Numerators as per given numbers 4802/825, 7958/366 is
LCM of Numerators i.e. for 4802,7958 is 19107158
GCF of denominators i.e. for 825,366 is 3.
Thus, LCM of Fractions is 19107158/3.Finally, LCM of Fractions for 4802/825, 7958/366 is 19107158/3.