Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/853, 65/279, 311/774 quickly i.e. 1293760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/853, 65/279, 311/774 is 1293760.
LCM(64/853, 65/279, 311/774) = 1293760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/853,65/279,311/774
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 64,65,311
Least Common Multiple of Numerators i.e. LCM of 64,65,311 is 1293760.
GCF of Denominators means GCF of 853,279,774 as per the given fractions.
GCF of 853,279,774 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,65,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 1293760
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 64,65,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,65,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,65,311) x common factors =1 x 1 = 1
LCM(64,65,311) = ( 64 × 65 × 311 ) / 1
LCM(64,65,311) = 1293760 / 1
LCM(64,65,311) = 1293760
Lets's calculate GCF of 853,279,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1293760/1
Therefore the LCM of Fractions 64/853,65/279,311/774 is 1293760
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 853,279,774 . The biggest common factor number is the GCF number.
So the greatest common factor 853,279,774 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 64/853, 65/279, 311/774?
Answer: LCM of Numerators as per given numbers 64/853, 65/279, 311/774 is
LCM of Numerators i.e. for 64,65,311 is 1293760
GCF of denominators i.e. for 853,279,774 is 1.
Thus, LCM of Fractions is 1293760.Finally, LCM of Fractions for 64/853, 65/279, 311/774 is 1293760.