Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4474/111, 1795/5547 quickly i.e. 8030830/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4474/111, 1795/5547 is 8030830/3.
LCM(4474/111, 1795/5547) = 8030830/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4474/111,1795/5547
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 4474,1795
Least Common Multiple of Numerators i.e. LCM of 4474,1795 is 8030830.
GCF of Denominators means GCF of 111,5547 as per the given fractions.
GCF of 111,5547 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4474,1795
Given numbers has no common factors except 1. So, there LCM is their product i.e 8030830
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 4474,1795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4474,1795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4474,1795) x common factors =1 x 1 = 1
LCM(4474,1795) = ( 4474 × 1795 ) / 1
LCM(4474,1795) = 8030830 / 1
LCM(4474,1795) = 8030830
Lets's calculate GCF of 111,5547
3 | 111, 5547 |
37, 1849 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8030830/3
Therefore the LCM of Fractions 4474/111,1795/5547 is 8030830/3
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 5547
List of positive integer factors of 5547 that divides 5547 without a remainder.
1,3,43,129,1849,5547
Greatest Common Factor
We found the factors 111,5547 . The biggest common factor number is the GCF number.
So the greatest common factor 111,5547 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 4474/111, 1795/5547?
Answer: LCM of Numerators as per given numbers 4474/111, 1795/5547 is
LCM of Numerators i.e. for 4474,1795 is 8030830
GCF of denominators i.e. for 111,5547 is 3.
Thus, LCM of Fractions is 8030830/3.Finally, LCM of Fractions for 4474/111, 1795/5547 is 8030830/3.