Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 676/432, 4828/6571 quickly i.e. 815932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 676/432, 4828/6571 is 815932.
LCM(676/432, 4828/6571) = 815932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 676/432,4828/6571
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 676,4828
Least Common Multiple of Numerators i.e. LCM of 676,4828 is 815932.
GCF of Denominators means GCF of 432,6571 as per the given fractions.
GCF of 432,6571 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 676,4828
2 | 676, 4828 |
2 | 338, 2414 |
169, 1207 |
∴ So the LCM of the given numbers is 2 x 2 x 169 x 1207 = 815932
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 676,4828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,4828) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(676,4828) x common factors =4 x 1 = 4
LCM(676,4828) = ( 676 × 4828 ) / 4
LCM(676,4828) = 3263728 / 4
LCM(676,4828) = 815932
Lets's calculate GCF of 432,6571
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 815932/1
Therefore the LCM of Fractions 676/432,4828/6571 is 815932
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1,6571
Greatest Common Factor
We found the factors 432,6571 . The biggest common factor number is the GCF number.
So the greatest common factor 432,6571 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 676/432, 4828/6571?
Answer: LCM of Numerators as per given numbers 676/432, 4828/6571 is
LCM of Numerators i.e. for 676,4828 is 815932
GCF of denominators i.e. for 432,6571 is 1.
Thus, LCM of Fractions is 815932.Finally, LCM of Fractions for 676/432, 4828/6571 is 815932.