Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/483, 2269/9426 quickly i.e. 145216/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/483, 2269/9426 is 145216/3.
LCM(64/483, 2269/9426) = 145216/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/483,2269/9426
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 64,2269
Least Common Multiple of Numerators i.e. LCM of 64,2269 is 145216.
GCF of Denominators means GCF of 483,9426 as per the given fractions.
GCF of 483,9426 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,2269
Given numbers has no common factors except 1. So, there LCM is their product i.e 145216
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 64,2269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,2269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,2269) x common factors =1 x 1 = 1
LCM(64,2269) = ( 64 × 2269 ) / 1
LCM(64,2269) = 145216 / 1
LCM(64,2269) = 145216
Lets's calculate GCF of 483,9426
3 | 483, 9426 |
161, 3142 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145216/3
Therefore the LCM of Fractions 64/483,2269/9426 is 145216/3
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 9426
List of positive integer factors of 9426 that divides 9426 without a remainder.
1,2,3,6,1571,3142,4713,9426
Greatest Common Factor
We found the factors 483,9426 . The biggest common factor number is the GCF number.
So the greatest common factor 483,9426 is 3.
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 64/483, 2269/9426?
Answer: LCM of Numerators as per given numbers 64/483, 2269/9426 is
LCM of Numerators i.e. for 64,2269 is 145216
GCF of denominators i.e. for 483,9426 is 3.
Thus, LCM of Fractions is 145216/3.Finally, LCM of Fractions for 64/483, 2269/9426 is 145216/3.