Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/66, 53/10, 83/813 quickly i.e. 281536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/66, 53/10, 83/813 is 281536.
LCM(64/66, 53/10, 83/813) = 281536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/66,53/10,83/813
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 64,53,83
Least Common Multiple of Numerators i.e. LCM of 64,53,83 is 281536.
GCF of Denominators means GCF of 66,10,813 as per the given fractions.
GCF of 66,10,813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,53,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 281536
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 64,53,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,53,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,53,83) x common factors =1 x 1 = 1
LCM(64,53,83) = ( 64 × 53 × 83 ) / 1
LCM(64,53,83) = 281536 / 1
LCM(64,53,83) = 281536
Lets's calculate GCF of 66,10,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281536/1
Therefore the LCM of Fractions 64/66,53/10,83/813 is 281536
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 66,10,813 . The biggest common factor number is the GCF number.
So the greatest common factor 66,10,813 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 64/66, 53/10, 83/813?
Answer: LCM of Numerators as per given numbers 64/66, 53/10, 83/813 is
LCM of Numerators i.e. for 64,53,83 is 281536
GCF of denominators i.e. for 66,10,813 is 1.
Thus, LCM of Fractions is 281536.Finally, LCM of Fractions for 64/66, 53/10, 83/813 is 281536.