Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 528/411, 8129/5731 quickly i.e. 390192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 528/411, 8129/5731 is 390192.
LCM(528/411, 8129/5731) = 390192
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 528/411,8129/5731
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 528,8129
Least Common Multiple of Numerators i.e. LCM of 528,8129 is 390192.
GCF of Denominators means GCF of 411,5731 as per the given fractions.
GCF of 411,5731 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 528,8129
11 | 528, 8129 |
48, 739 |
∴ So the LCM of the given numbers is 11 x 48 x 739 = 390192
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 528,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,8129) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(528,8129) x common factors =11 x 1 = 11
LCM(528,8129) = ( 528 × 8129 ) / 11
LCM(528,8129) = 4292112 / 11
LCM(528,8129) = 390192
Lets's calculate GCF of 411,5731
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390192/1
Therefore the LCM of Fractions 528/411,8129/5731 is 390192
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 5731
List of positive integer factors of 5731 that divides 5731 without a remainder.
1,11,521,5731
Greatest Common Factor
We found the factors 411,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 411,5731 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 528/411, 8129/5731?
Answer: LCM of Numerators as per given numbers 528/411, 8129/5731 is
LCM of Numerators i.e. for 528,8129 is 390192
GCF of denominators i.e. for 411,5731 is 1.
Thus, LCM of Fractions is 390192.Finally, LCM of Fractions for 528/411, 8129/5731 is 390192.