Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/695, 1913/4265 quickly i.e. 68868/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/695, 1913/4265 is 68868/5.
LCM(36/695, 1913/4265) = 68868/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/695,1913/4265
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 36,1913
Least Common Multiple of Numerators i.e. LCM of 36,1913 is 68868.
GCF of Denominators means GCF of 695,4265 as per the given fractions.
GCF of 695,4265 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,1913
Given numbers has no common factors except 1. So, there LCM is their product i.e 68868
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 36,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,1913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,1913) x common factors =1 x 1 = 1
LCM(36,1913) = ( 36 × 1913 ) / 1
LCM(36,1913) = 68868 / 1
LCM(36,1913) = 68868
Lets's calculate GCF of 695,4265
5 | 695, 4265 |
139, 853 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68868/5
Therefore the LCM of Fractions 36/695,1913/4265 is 68868/5
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 4265
List of positive integer factors of 4265 that divides 4265 without a remainder.
1,5,853,4265
Greatest Common Factor
We found the factors 695,4265 . The biggest common factor number is the GCF number.
So the greatest common factor 695,4265 is 5.
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 36/695, 1913/4265?
Answer: LCM of Numerators as per given numbers 36/695, 1913/4265 is
LCM of Numerators i.e. for 36,1913 is 68868
GCF of denominators i.e. for 695,4265 is 5.
Thus, LCM of Fractions is 68868/5.Finally, LCM of Fractions for 36/695, 1913/4265 is 68868/5.