Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 485/25, 925/32, 847/396 quickly i.e. 75997075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 485/25, 925/32, 847/396 is 75997075.
LCM(485/25, 925/32, 847/396) = 75997075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 485/25,925/32,847/396
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 485,925,847
Least Common Multiple of Numerators i.e. LCM of 485,925,847 is 75997075.
GCF of Denominators means GCF of 25,32,396 as per the given fractions.
GCF of 25,32,396 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 485,925,847
5 | 485, 925, 847 |
97, 185, 847 |
∴ So the LCM of the given numbers is 5 x 97 x 185 x 847 = 75997075
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 485,925,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,925,847) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(485,925,847) x common factors =1 x 5 = 5
LCM(485,925,847) = ( 485 × 925 × 847 ) / 5
LCM(485,925,847) = 379985375 / 5
LCM(485,925,847) = 75997075
Lets's calculate GCF of 25,32,396
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75997075/1
Therefore the LCM of Fractions 485/25,925/32,847/396 is 75997075
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 25,32,396 . The biggest common factor number is the GCF number.
So the greatest common factor 25,32,396 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 485/25, 925/32, 847/396?
Answer: LCM of Numerators as per given numbers 485/25, 925/32, 847/396 is
LCM of Numerators i.e. for 485,925,847 is 75997075
GCF of denominators i.e. for 25,32,396 is 1.
Thus, LCM of Fractions is 75997075.Finally, LCM of Fractions for 485/25, 925/32, 847/396 is 75997075.