Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9918/366, 3883/310 quickly i.e. 19255797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9918/366, 3883/310 is 19255797.
LCM(9918/366, 3883/310) = 19255797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9918/366,3883/310
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 9918,3883
Least Common Multiple of Numerators i.e. LCM of 9918,3883 is 38511594.
GCF of Denominators means GCF of 366,310 as per the given fractions.
GCF of 366,310 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9918,3883
Given numbers has no common factors except 1. So, there LCM is their product i.e 38511594
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 9918,3883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9918,3883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9918,3883) x common factors =1 x 1 = 1
LCM(9918,3883) = ( 9918 × 3883 ) / 1
LCM(9918,3883) = 38511594 / 1
LCM(9918,3883) = 38511594
Lets's calculate GCF of 366,310
2 | 366, 310 |
183, 155 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38511594/2
Therefore the LCM of Fractions 9918/366,3883/310 is 19255797
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 366,310 . The biggest common factor number is the GCF number.
So the greatest common factor 366,310 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 9918/366, 3883/310?
Answer: LCM of Numerators as per given numbers 9918/366, 3883/310 is
LCM of Numerators i.e. for 9918,3883 is 38511594
GCF of denominators i.e. for 366,310 is 2.
Thus, LCM of Fractions is 19255797.Finally, LCM of Fractions for 9918/366, 3883/310 is 19255797.