Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2305/64, 9845/528 quickly i.e. 4538545/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2305/64, 9845/528 is 4538545/16.
LCM(2305/64, 9845/528) = 4538545/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2305/64,9845/528
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 2305,9845
Least Common Multiple of Numerators i.e. LCM of 2305,9845 is 4538545.
GCF of Denominators means GCF of 64,528 as per the given fractions.
GCF of 64,528 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2305,9845
5 | 2305, 9845 |
461, 1969 |
∴ So the LCM of the given numbers is 5 x 461 x 1969 = 4538545
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 2305,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2305,9845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2305,9845) x common factors =5 x 1 = 5
LCM(2305,9845) = ( 2305 × 9845 ) / 5
LCM(2305,9845) = 22692725 / 5
LCM(2305,9845) = 4538545
Lets's calculate GCF of 64,528
2 | 64, 528 |
2 | 32, 264 |
2 | 16, 132 |
2 | 8, 66 |
4, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4538545/16
Therefore the LCM of Fractions 2305/64,9845/528 is 4538545/16
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 64,528 . The biggest common factor number is the GCF number.
So the greatest common factor 64,528 is 16.
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 2305/64, 9845/528?
Answer: LCM of Numerators as per given numbers 2305/64, 9845/528 is
LCM of Numerators i.e. for 2305,9845 is 4538545
GCF of denominators i.e. for 64,528 is 16.
Thus, LCM of Fractions is 4538545/16.Finally, LCM of Fractions for 2305/64, 9845/528 is 4538545/16.