Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/831, 150/704 quickly i.e. 1950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/831, 150/704 is 1950.
LCM(325/831, 150/704) = 1950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/831,150/704
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 325,150
Least Common Multiple of Numerators i.e. LCM of 325,150 is 1950.
GCF of Denominators means GCF of 831,704 as per the given fractions.
GCF of 831,704 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,150
5 | 325, 150 |
5 | 65, 30 |
13, 6 |
∴ So the LCM of the given numbers is 5 x 5 x 13 x 6 = 1950
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 325,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,150) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(325,150) x common factors =25 x 1 = 25
LCM(325,150) = ( 325 × 150 ) / 25
LCM(325,150) = 48750 / 25
LCM(325,150) = 1950
Lets's calculate GCF of 831,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1950/1
Therefore the LCM of Fractions 325/831,150/704 is 1950
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 831,704 . The biggest common factor number is the GCF number.
So the greatest common factor 831,704 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 325/831, 150/704?
Answer: LCM of Numerators as per given numbers 325/831, 150/704 is
LCM of Numerators i.e. for 325,150 is 1950
GCF of denominators i.e. for 831,704 is 1.
Thus, LCM of Fractions is 1950.Finally, LCM of Fractions for 325/831, 150/704 is 1950.