Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/855, 586/733, 501/384 quickly i.e. 12624198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/855, 586/733, 501/384 is 12624198.
LCM(43/855, 586/733, 501/384) = 12624198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/855,586/733,501/384
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 43,586,501
Least Common Multiple of Numerators i.e. LCM of 43,586,501 is 12624198.
GCF of Denominators means GCF of 855,733,384 as per the given fractions.
GCF of 855,733,384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,586,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 12624198
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 43,586,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,586,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,586,501) x common factors =1 x 1 = 1
LCM(43,586,501) = ( 43 × 586 × 501 ) / 1
LCM(43,586,501) = 12624198 / 1
LCM(43,586,501) = 12624198
Lets's calculate GCF of 855,733,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12624198/1
Therefore the LCM of Fractions 43/855,586/733,501/384 is 12624198
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 855,733,384 . The biggest common factor number is the GCF number.
So the greatest common factor 855,733,384 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 43/855, 586/733, 501/384?
Answer: LCM of Numerators as per given numbers 43/855, 586/733, 501/384 is
LCM of Numerators i.e. for 43,586,501 is 12624198
GCF of denominators i.e. for 855,733,384 is 1.
Thus, LCM of Fractions is 12624198.Finally, LCM of Fractions for 43/855, 586/733, 501/384 is 12624198.