Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/491, 77/965, 569/801 quickly i.e. 1971585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/491, 77/965, 569/801 is 1971585.
LCM(45/491, 77/965, 569/801) = 1971585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/491,77/965,569/801
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 45,77,569
Least Common Multiple of Numerators i.e. LCM of 45,77,569 is 1971585.
GCF of Denominators means GCF of 491,965,801 as per the given fractions.
GCF of 491,965,801 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,77,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 1971585
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 45,77,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,77,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,77,569) x common factors =1 x 1 = 1
LCM(45,77,569) = ( 45 × 77 × 569 ) / 1
LCM(45,77,569) = 1971585 / 1
LCM(45,77,569) = 1971585
Lets's calculate GCF of 491,965,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1971585/1
Therefore the LCM of Fractions 45/491,77/965,569/801 is 1971585
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 491,965,801 . The biggest common factor number is the GCF number.
So the greatest common factor 491,965,801 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 45/491, 77/965, 569/801?
Answer: LCM of Numerators as per given numbers 45/491, 77/965, 569/801 is
LCM of Numerators i.e. for 45,77,569 is 1971585
GCF of denominators i.e. for 491,965,801 is 1.
Thus, LCM of Fractions is 1971585.Finally, LCM of Fractions for 45/491, 77/965, 569/801 is 1971585.