Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4721/930, 9404/2199 quickly i.e. 44396284/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4721/930, 9404/2199 is 44396284/3.
LCM(4721/930, 9404/2199) = 44396284/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4721/930,9404/2199
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 4721,9404
Least Common Multiple of Numerators i.e. LCM of 4721,9404 is 44396284.
GCF of Denominators means GCF of 930,2199 as per the given fractions.
GCF of 930,2199 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4721,9404
Given numbers has no common factors except 1. So, there LCM is their product i.e 44396284
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 4721,9404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4721,9404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4721,9404) x common factors =1 x 1 = 1
LCM(4721,9404) = ( 4721 × 9404 ) / 1
LCM(4721,9404) = 44396284 / 1
LCM(4721,9404) = 44396284
Lets's calculate GCF of 930,2199
3 | 930, 2199 |
310, 733 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44396284/3
Therefore the LCM of Fractions 4721/930,9404/2199 is 44396284/3
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 2199
List of positive integer factors of 2199 that divides 2199 without a remainder.
1,3,733,2199
Greatest Common Factor
We found the factors 930,2199 . The biggest common factor number is the GCF number.
So the greatest common factor 930,2199 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 4721/930, 9404/2199?
Answer: LCM of Numerators as per given numbers 4721/930, 9404/2199 is
LCM of Numerators i.e. for 4721,9404 is 44396284
GCF of denominators i.e. for 930,2199 is 3.
Thus, LCM of Fractions is 44396284/3.Finally, LCM of Fractions for 4721/930, 9404/2199 is 44396284/3.