Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/933, 6536/4082 quickly i.e. 385624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/933, 6536/4082 is 385624.
LCM(59/933, 6536/4082) = 385624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/933,6536/4082
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 59,6536
Least Common Multiple of Numerators i.e. LCM of 59,6536 is 385624.
GCF of Denominators means GCF of 933,4082 as per the given fractions.
GCF of 933,4082 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,6536
Given numbers has no common factors except 1. So, there LCM is their product i.e 385624
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 59,6536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,6536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,6536) x common factors =1 x 1 = 1
LCM(59,6536) = ( 59 × 6536 ) / 1
LCM(59,6536) = 385624 / 1
LCM(59,6536) = 385624
Lets's calculate GCF of 933,4082
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385624/1
Therefore the LCM of Fractions 59/933,6536/4082 is 385624
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 4082
List of positive integer factors of 4082 that divides 4082 without a remainder.
1,2,13,26,157,314,2041,4082
Greatest Common Factor
We found the factors 933,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 933,4082 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 59/933, 6536/4082?
Answer: LCM of Numerators as per given numbers 59/933, 6536/4082 is
LCM of Numerators i.e. for 59,6536 is 385624
GCF of denominators i.e. for 933,4082 is 1.
Thus, LCM of Fractions is 385624.Finally, LCM of Fractions for 59/933, 6536/4082 is 385624.