Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8522/135, 6545/3932 quickly i.e. 55776490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8522/135, 6545/3932 is 55776490.
LCM(8522/135, 6545/3932) = 55776490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8522/135,6545/3932
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 8522,6545
Least Common Multiple of Numerators i.e. LCM of 8522,6545 is 55776490.
GCF of Denominators means GCF of 135,3932 as per the given fractions.
GCF of 135,3932 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8522,6545
Given numbers has no common factors except 1. So, there LCM is their product i.e 55776490
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 8522,6545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8522,6545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8522,6545) x common factors =1 x 1 = 1
LCM(8522,6545) = ( 8522 × 6545 ) / 1
LCM(8522,6545) = 55776490 / 1
LCM(8522,6545) = 55776490
Lets's calculate GCF of 135,3932
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55776490/1
Therefore the LCM of Fractions 8522/135,6545/3932 is 55776490
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 3932
List of positive integer factors of 3932 that divides 3932 without a remainder.
1,2,4,983,1966,3932
Greatest Common Factor
We found the factors 135,3932 . The biggest common factor number is the GCF number.
So the greatest common factor 135,3932 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 8522/135, 6545/3932?
Answer: LCM of Numerators as per given numbers 8522/135, 6545/3932 is
LCM of Numerators i.e. for 8522,6545 is 55776490
GCF of denominators i.e. for 135,3932 is 1.
Thus, LCM of Fractions is 55776490.Finally, LCM of Fractions for 8522/135, 6545/3932 is 55776490.