Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/729, 703/471, 425/396 quickly i.e. 27188525/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/729, 703/471, 425/396 is 27188525/3.
LCM(91/729, 703/471, 425/396) = 27188525/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/729,703/471,425/396
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 91,703,425
Least Common Multiple of Numerators i.e. LCM of 91,703,425 is 27188525.
GCF of Denominators means GCF of 729,471,396 as per the given fractions.
GCF of 729,471,396 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,703,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 27188525
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 91,703,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,703,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,703,425) x common factors =1 x 1 = 1
LCM(91,703,425) = ( 91 × 703 × 425 ) / 1
LCM(91,703,425) = 27188525 / 1
LCM(91,703,425) = 27188525
Lets's calculate GCF of 729,471,396
3 | 729, 471, 396 |
243, 157, 132 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27188525/3
Therefore the LCM of Fractions 91/729,703/471,425/396 is 27188525/3
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
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 729,471,396 . The biggest common factor number is the GCF number.
So the greatest common factor 729,471,396 is 3.
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 91/729, 703/471, 425/396?
Answer: LCM of Numerators as per given numbers 91/729, 703/471, 425/396 is
LCM of Numerators i.e. for 91,703,425 is 27188525
GCF of denominators i.e. for 729,471,396 is 3.
Thus, LCM of Fractions is 27188525/3.Finally, LCM of Fractions for 91/729, 703/471, 425/396 is 27188525/3.