Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/325, 87/322, 894/588 quickly i.e. 414816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/325, 87/322, 894/588 is 414816.
LCM(32/325, 87/322, 894/588) = 414816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/325,87/322,894/588
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 32,87,894
Least Common Multiple of Numerators i.e. LCM of 32,87,894 is 414816.
GCF of Denominators means GCF of 325,322,588 as per the given fractions.
GCF of 325,322,588 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,87,894
2 | 32, 87, 894 |
3 | 16, 87, 447 |
16, 29, 149 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 29 x 149 = 414816
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 32,87,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,87,894) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(32,87,894) x common factors =1 x 6 = 6
LCM(32,87,894) = ( 32 × 87 × 894 ) / 6
LCM(32,87,894) = 2488896 / 6
LCM(32,87,894) = 414816
Lets's calculate GCF of 325,322,588
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414816/1
Therefore the LCM of Fractions 32/325,87/322,894/588 is 414816
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 325,322,588 . The biggest common factor number is the GCF number.
So the greatest common factor 325,322,588 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 32/325, 87/322, 894/588?
Answer: LCM of Numerators as per given numbers 32/325, 87/322, 894/588 is
LCM of Numerators i.e. for 32,87,894 is 414816
GCF of denominators i.e. for 325,322,588 is 1.
Thus, LCM of Fractions is 414816.Finally, LCM of Fractions for 32/325, 87/322, 894/588 is 414816.