Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 512/145, 7864/8015 quickly i.e. 503296/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 512/145, 7864/8015 is 503296/5.
LCM(512/145, 7864/8015) = 503296/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 512/145,7864/8015
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 512,7864
Least Common Multiple of Numerators i.e. LCM of 512,7864 is 503296.
GCF of Denominators means GCF of 145,8015 as per the given fractions.
GCF of 145,8015 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 512,7864
2 | 512, 7864 |
2 | 256, 3932 |
2 | 128, 1966 |
64, 983 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 983 = 503296
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 512,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,7864) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(512,7864) x common factors =8 x 1 = 8
LCM(512,7864) = ( 512 × 7864 ) / 8
LCM(512,7864) = 4026368 / 8
LCM(512,7864) = 503296
Lets's calculate GCF of 145,8015
5 | 145, 8015 |
29, 1603 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503296/5
Therefore the LCM of Fractions 512/145,7864/8015 is 503296/5
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 8015
List of positive integer factors of 8015 that divides 8015 without a remainder.
1,5,7,35,229,1145,1603,8015
Greatest Common Factor
We found the factors 145,8015 . The biggest common factor number is the GCF number.
So the greatest common factor 145,8015 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 512/145, 7864/8015?
Answer: LCM of Numerators as per given numbers 512/145, 7864/8015 is
LCM of Numerators i.e. for 512,7864 is 503296
GCF of denominators i.e. for 145,8015 is 5.
Thus, LCM of Fractions is 503296/5.Finally, LCM of Fractions for 512/145, 7864/8015 is 503296/5.