Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/385, 95/611, 333/135 quickly i.e. 2024640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/385, 95/611, 333/135 is 2024640.
LCM(64/385, 95/611, 333/135) = 2024640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/385,95/611,333/135
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 64,95,333
Least Common Multiple of Numerators i.e. LCM of 64,95,333 is 2024640.
GCF of Denominators means GCF of 385,611,135 as per the given fractions.
GCF of 385,611,135 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,95,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 2024640
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 64,95,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,95,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,95,333) x common factors =1 x 1 = 1
LCM(64,95,333) = ( 64 × 95 × 333 ) / 1
LCM(64,95,333) = 2024640 / 1
LCM(64,95,333) = 2024640
Lets's calculate GCF of 385,611,135
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2024640/1
Therefore the LCM of Fractions 64/385,95/611,333/135 is 2024640
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 385,611,135 . The biggest common factor number is the GCF number.
So the greatest common factor 385,611,135 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 64/385, 95/611, 333/135?
Answer: LCM of Numerators as per given numbers 64/385, 95/611, 333/135 is
LCM of Numerators i.e. for 64,95,333 is 2024640
GCF of denominators i.e. for 385,611,135 is 1.
Thus, LCM of Fractions is 2024640.Finally, LCM of Fractions for 64/385, 95/611, 333/135 is 2024640.