Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/918, 6323/4366 quickly i.e. 297181/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/918, 6323/4366 is 297181/2.
LCM(47/918, 6323/4366) = 297181/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/918,6323/4366
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 47,6323
Least Common Multiple of Numerators i.e. LCM of 47,6323 is 297181.
GCF of Denominators means GCF of 918,4366 as per the given fractions.
GCF of 918,4366 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,6323
Given numbers has no common factors except 1. So, there LCM is their product i.e 297181
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 47,6323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,6323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,6323) x common factors =1 x 1 = 1
LCM(47,6323) = ( 47 × 6323 ) / 1
LCM(47,6323) = 297181 / 1
LCM(47,6323) = 297181
Lets's calculate GCF of 918,4366
2 | 918, 4366 |
459, 2183 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297181/2
Therefore the LCM of Fractions 47/918,6323/4366 is 297181/2
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 4366
List of positive integer factors of 4366 that divides 4366 without a remainder.
1,2,37,59,74,118,2183,4366
Greatest Common Factor
We found the factors 918,4366 . The biggest common factor number is the GCF number.
So the greatest common factor 918,4366 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 47/918, 6323/4366?
Answer: LCM of Numerators as per given numbers 47/918, 6323/4366 is
LCM of Numerators i.e. for 47,6323 is 297181
GCF of denominators i.e. for 918,4366 is 2.
Thus, LCM of Fractions is 297181/2.Finally, LCM of Fractions for 47/918, 6323/4366 is 297181/2.