Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/54, 64/535, 303/390 quickly i.e. 1609536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/54, 64/535, 303/390 is 1609536.
LCM(83/54, 64/535, 303/390) = 1609536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/54,64/535,303/390
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 83,64,303
Least Common Multiple of Numerators i.e. LCM of 83,64,303 is 1609536.
GCF of Denominators means GCF of 54,535,390 as per the given fractions.
GCF of 54,535,390 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,64,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 1609536
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 83,64,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,64,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,64,303) x common factors =1 x 1 = 1
LCM(83,64,303) = ( 83 × 64 × 303 ) / 1
LCM(83,64,303) = 1609536 / 1
LCM(83,64,303) = 1609536
Lets's calculate GCF of 54,535,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1609536/1
Therefore the LCM of Fractions 83/54,64/535,303/390 is 1609536
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 54,535,390 . The biggest common factor number is the GCF number.
So the greatest common factor 54,535,390 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 83/54, 64/535, 303/390?
Answer: LCM of Numerators as per given numbers 83/54, 64/535, 303/390 is
LCM of Numerators i.e. for 83,64,303 is 1609536
GCF of denominators i.e. for 54,535,390 is 1.
Thus, LCM of Fractions is 1609536.Finally, LCM of Fractions for 83/54, 64/535, 303/390 is 1609536.