Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/425, 158/766, 271/805 quickly i.e. 556634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/425, 158/766, 271/805 is 556634.
LCM(13/425, 158/766, 271/805) = 556634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/425,158/766,271/805
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 13,158,271
Least Common Multiple of Numerators i.e. LCM of 13,158,271 is 556634.
GCF of Denominators means GCF of 425,766,805 as per the given fractions.
GCF of 425,766,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,158,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 556634
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 13,158,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,158,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,158,271) x common factors =1 x 1 = 1
LCM(13,158,271) = ( 13 × 158 × 271 ) / 1
LCM(13,158,271) = 556634 / 1
LCM(13,158,271) = 556634
Lets's calculate GCF of 425,766,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 556634/1
Therefore the LCM of Fractions 13/425,158/766,271/805 is 556634
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 425,766,805 . The biggest common factor number is the GCF number.
So the greatest common factor 425,766,805 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 13/425, 158/766, 271/805?
Answer: LCM of Numerators as per given numbers 13/425, 158/766, 271/805 is
LCM of Numerators i.e. for 13,158,271 is 556634
GCF of denominators i.e. for 425,766,805 is 1.
Thus, LCM of Fractions is 556634.Finally, LCM of Fractions for 13/425, 158/766, 271/805 is 556634.