Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/522, 134/535, 679/766 quickly i.e. 6460006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/522, 134/535, 679/766 is 6460006.
LCM(71/522, 134/535, 679/766) = 6460006
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/522,134/535,679/766
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 71,134,679
Least Common Multiple of Numerators i.e. LCM of 71,134,679 is 6460006.
GCF of Denominators means GCF of 522,535,766 as per the given fractions.
GCF of 522,535,766 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,134,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 6460006
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 71,134,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,134,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,134,679) x common factors =1 x 1 = 1
LCM(71,134,679) = ( 71 × 134 × 679 ) / 1
LCM(71,134,679) = 6460006 / 1
LCM(71,134,679) = 6460006
Lets's calculate GCF of 522,535,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6460006/1
Therefore the LCM of Fractions 71/522,134/535,679/766 is 6460006
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 522,535,766 . The biggest common factor number is the GCF number.
So the greatest common factor 522,535,766 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 71/522, 134/535, 679/766?
Answer: LCM of Numerators as per given numbers 71/522, 134/535, 679/766 is
LCM of Numerators i.e. for 71,134,679 is 6460006
GCF of denominators i.e. for 522,535,766 is 1.
Thus, LCM of Fractions is 6460006.Finally, LCM of Fractions for 71/522, 134/535, 679/766 is 6460006.