Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8770/555, 1056/4107 quickly i.e. 4630560/111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8770/555, 1056/4107 is 4630560/111.
LCM(8770/555, 1056/4107) = 4630560/111
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8770/555,1056/4107
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 8770,1056
Least Common Multiple of Numerators i.e. LCM of 8770,1056 is 4630560.
GCF of Denominators means GCF of 555,4107 as per the given fractions.
GCF of 555,4107 is 111 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8770,1056
2 | 8770, 1056 |
4385, 528 |
∴ So the LCM of the given numbers is 2 x 4385 x 528 = 4630560
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 8770,1056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8770,1056) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8770,1056) x common factors =2 x 1 = 2
LCM(8770,1056) = ( 8770 × 1056 ) / 2
LCM(8770,1056) = 9261120 / 2
LCM(8770,1056) = 4630560
Lets's calculate GCF of 555,4107
3 | 555, 4107 |
37 | 185, 1369 |
5, 37 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4630560/111
Therefore the LCM of Fractions 8770/555,1056/4107 is 4630560/111
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 4107
List of positive integer factors of 4107 that divides 4107 without a remainder.
1,3,37,111,1369,4107
Greatest Common Factor
We found the factors 555,4107 . The biggest common factor number is the GCF number.
So the greatest common factor 555,4107 is 111.
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 8770/555, 1056/4107?
Answer: LCM of Numerators as per given numbers 8770/555, 1056/4107 is
LCM of Numerators i.e. for 8770,1056 is 4630560
GCF of denominators i.e. for 555,4107 is 111.
Thus, LCM of Fractions is 4630560/111.Finally, LCM of Fractions for 8770/555, 1056/4107 is 4630560/111.