Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/412, 876/847, 384/698 quickly i.e. 28032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/412, 876/847, 384/698 is 28032.
LCM(32/412, 876/847, 384/698) = 28032
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/412,876/847,384/698
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 32,876,384
Least Common Multiple of Numerators i.e. LCM of 32,876,384 is 28032.
GCF of Denominators means GCF of 412,847,698 as per the given fractions.
GCF of 412,847,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,876,384
2 | 32, 876, 384 |
2 | 16, 438, 192 |
2 | 8, 219, 96 |
2 | 4, 219, 48 |
2 | 2, 219, 24 |
3 | 1, 219, 12 |
1, 73, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 73 x 4 = 28032
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 32,876,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,876,384) = 4
common factors(in case of two or more numbers have common factors) = 96
GCF(32,876,384) x common factors =4 x 96 = 384
LCM(32,876,384) = ( 32 × 876 × 384 ) / 384
LCM(32,876,384) = 10764288 / 384
LCM(32,876,384) = 28032
Lets's calculate GCF of 412,847,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28032/1
Therefore the LCM of Fractions 32/412,876/847,384/698 is 28032
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 412,847,698 . The biggest common factor number is the GCF number.
So the greatest common factor 412,847,698 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 32/412, 876/847, 384/698?
Answer: LCM of Numerators as per given numbers 32/412, 876/847, 384/698 is
LCM of Numerators i.e. for 32,876,384 is 28032
GCF of denominators i.e. for 412,847,698 is 1.
Thus, LCM of Fractions is 28032.Finally, LCM of Fractions for 32/412, 876/847, 384/698 is 28032.