Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5571/108, 1890/9301 quickly i.e. 1169910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5571/108, 1890/9301 is 1169910.
LCM(5571/108, 1890/9301) = 1169910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5571/108,1890/9301
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 5571,1890
Least Common Multiple of Numerators i.e. LCM of 5571,1890 is 1169910.
GCF of Denominators means GCF of 108,9301 as per the given fractions.
GCF of 108,9301 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5571,1890
3 | 5571, 1890 |
3 | 1857, 630 |
619, 210 |
∴ So the LCM of the given numbers is 3 x 3 x 619 x 210 = 1169910
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 5571,1890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5571,1890) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(5571,1890) x common factors =9 x 1 = 9
LCM(5571,1890) = ( 5571 × 1890 ) / 9
LCM(5571,1890) = 10529190 / 9
LCM(5571,1890) = 1169910
Lets's calculate GCF of 108,9301
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1169910/1
Therefore the LCM of Fractions 5571/108,1890/9301 is 1169910
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 9301
List of positive integer factors of 9301 that divides 9301 without a remainder.
1,71,131,9301
Greatest Common Factor
We found the factors 108,9301 . The biggest common factor number is the GCF number.
So the greatest common factor 108,9301 is 1.
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 5571/108, 1890/9301?
Answer: LCM of Numerators as per given numbers 5571/108, 1890/9301 is
LCM of Numerators i.e. for 5571,1890 is 1169910
GCF of denominators i.e. for 108,9301 is 1.
Thus, LCM of Fractions is 1169910.Finally, LCM of Fractions for 5571/108, 1890/9301 is 1169910.