Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8455/935, 3911/2567 quickly i.e. 33067505/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8455/935, 3911/2567 is 33067505/17.
LCM(8455/935, 3911/2567) = 33067505/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8455/935,3911/2567
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 8455,3911
Least Common Multiple of Numerators i.e. LCM of 8455,3911 is 33067505.
GCF of Denominators means GCF of 935,2567 as per the given fractions.
GCF of 935,2567 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8455,3911
Given numbers has no common factors except 1. So, there LCM is their product i.e 33067505
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 8455,3911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8455,3911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8455,3911) x common factors =1 x 1 = 1
LCM(8455,3911) = ( 8455 × 3911 ) / 1
LCM(8455,3911) = 33067505 / 1
LCM(8455,3911) = 33067505
Lets's calculate GCF of 935,2567
17 | 935, 2567 |
55, 151 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33067505/17
Therefore the LCM of Fractions 8455/935,3911/2567 is 33067505/17
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 2567
List of positive integer factors of 2567 that divides 2567 without a remainder.
1,17,151,2567
Greatest Common Factor
We found the factors 935,2567 . The biggest common factor number is the GCF number.
So the greatest common factor 935,2567 is 17.
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 8455/935, 3911/2567?
Answer: LCM of Numerators as per given numbers 8455/935, 3911/2567 is
LCM of Numerators i.e. for 8455,3911 is 33067505
GCF of denominators i.e. for 935,2567 is 17.
Thus, LCM of Fractions is 33067505/17.Finally, LCM of Fractions for 8455/935, 3911/2567 is 33067505/17.