Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/522, 71/691, 15/994 quickly i.e. 1065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/522, 71/691, 15/994 is 1065.
LCM(1/522, 71/691, 15/994) = 1065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/522,71/691,15/994
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 1,71,15
Least Common Multiple of Numerators i.e. LCM of 1,71,15 is 1065.
GCF of Denominators means GCF of 522,691,994 as per the given fractions.
GCF of 522,691,994 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,71,15
Given numbers has no common factors except 1. So, there LCM is their product i.e 1065
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 1,71,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,71,15) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,71,15) x common factors =1 x 1 = 1
LCM(1,71,15) = ( 1 × 71 × 15 ) / 1
LCM(1,71,15) = 1065 / 1
LCM(1,71,15) = 1065
Lets's calculate GCF of 522,691,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065/1
Therefore the LCM of Fractions 1/522,71/691,15/994 is 1065
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 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 522,691,994 . The biggest common factor number is the GCF number.
So the greatest common factor 522,691,994 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 1/522, 71/691, 15/994?
Answer: LCM of Numerators as per given numbers 1/522, 71/691, 15/994 is
LCM of Numerators i.e. for 1,71,15 is 1065
GCF of denominators i.e. for 522,691,994 is 1.
Thus, LCM of Fractions is 1065.Finally, LCM of Fractions for 1/522, 71/691, 15/994 is 1065.