Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3215/453, 3263/7685 quickly i.e. 10490545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3215/453, 3263/7685 is 10490545.
LCM(3215/453, 3263/7685) = 10490545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3215/453,3263/7685
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 3215,3263
Least Common Multiple of Numerators i.e. LCM of 3215,3263 is 10490545.
GCF of Denominators means GCF of 453,7685 as per the given fractions.
GCF of 453,7685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3215,3263
Given numbers has no common factors except 1. So, there LCM is their product i.e 10490545
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 3215,3263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3215,3263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3215,3263) x common factors =1 x 1 = 1
LCM(3215,3263) = ( 3215 × 3263 ) / 1
LCM(3215,3263) = 10490545 / 1
LCM(3215,3263) = 10490545
Lets's calculate GCF of 453,7685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10490545/1
Therefore the LCM of Fractions 3215/453,3263/7685 is 10490545
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 7685
List of positive integer factors of 7685 that divides 7685 without a remainder.
1,5,29,53,145,265,1537,7685
Greatest Common Factor
We found the factors 453,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 453,7685 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 3215/453, 3263/7685?
Answer: LCM of Numerators as per given numbers 3215/453, 3263/7685 is
LCM of Numerators i.e. for 3215,3263 is 10490545
GCF of denominators i.e. for 453,7685 is 1.
Thus, LCM of Fractions is 10490545.Finally, LCM of Fractions for 3215/453, 3263/7685 is 10490545.