Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/493, 89/849, 866/578 quickly i.e. 5934698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/493, 89/849, 866/578 is 5934698.
LCM(77/493, 89/849, 866/578) = 5934698
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/493,89/849,866/578
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 77,89,866
Least Common Multiple of Numerators i.e. LCM of 77,89,866 is 5934698.
GCF of Denominators means GCF of 493,849,578 as per the given fractions.
GCF of 493,849,578 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,89,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 5934698
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 77,89,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,89,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,89,866) x common factors =1 x 1 = 1
LCM(77,89,866) = ( 77 × 89 × 866 ) / 1
LCM(77,89,866) = 5934698 / 1
LCM(77,89,866) = 5934698
Lets's calculate GCF of 493,849,578
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5934698/1
Therefore the LCM of Fractions 77/493,89/849,866/578 is 5934698
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 493,849,578 . The biggest common factor number is the GCF number.
So the greatest common factor 493,849,578 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 77/493, 89/849, 866/578?
Answer: LCM of Numerators as per given numbers 77/493, 89/849, 866/578 is
LCM of Numerators i.e. for 77,89,866 is 5934698
GCF of denominators i.e. for 493,849,578 is 1.
Thus, LCM of Fractions is 5934698.Finally, LCM of Fractions for 77/493, 89/849, 866/578 is 5934698.