Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3910/511, 9860/1132 quickly i.e. 226780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3910/511, 9860/1132 is 226780.
LCM(3910/511, 9860/1132) = 226780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3910/511,9860/1132
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 3910,9860
Least Common Multiple of Numerators i.e. LCM of 3910,9860 is 226780.
GCF of Denominators means GCF of 511,1132 as per the given fractions.
GCF of 511,1132 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3910,9860
2 | 3910, 9860 |
5 | 1955, 4930 |
17 | 391, 986 |
23, 58 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 23 x 58 = 226780
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 3910,9860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3910,9860) = 170
common factors(in case of two or more numbers have common factors) = 1
GCF(3910,9860) x common factors =170 x 1 = 170
LCM(3910,9860) = ( 3910 × 9860 ) / 170
LCM(3910,9860) = 38552600 / 170
LCM(3910,9860) = 226780
Lets's calculate GCF of 511,1132
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226780/1
Therefore the LCM of Fractions 3910/511,9860/1132 is 226780
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 1132
List of positive integer factors of 1132 that divides 1132 without a remainder.
1,2,4,283,566,1132
Greatest Common Factor
We found the factors 511,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 511,1132 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 3910/511, 9860/1132?
Answer: LCM of Numerators as per given numbers 3910/511, 9860/1132 is
LCM of Numerators i.e. for 3910,9860 is 226780
GCF of denominators i.e. for 511,1132 is 1.
Thus, LCM of Fractions is 226780.Finally, LCM of Fractions for 3910/511, 9860/1132 is 226780.