Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3933/505, 4212/1662 quickly i.e. 1840644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3933/505, 4212/1662 is 1840644.
LCM(3933/505, 4212/1662) = 1840644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3933/505,4212/1662
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 3933,4212
Least Common Multiple of Numerators i.e. LCM of 3933,4212 is 1840644.
GCF of Denominators means GCF of 505,1662 as per the given fractions.
GCF of 505,1662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3933,4212
3 | 3933, 4212 |
3 | 1311, 1404 |
437, 468 |
∴ So the LCM of the given numbers is 3 x 3 x 437 x 468 = 1840644
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 3933,4212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3933,4212) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(3933,4212) x common factors =9 x 1 = 9
LCM(3933,4212) = ( 3933 × 4212 ) / 9
LCM(3933,4212) = 16565796 / 9
LCM(3933,4212) = 1840644
Lets's calculate GCF of 505,1662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1840644/1
Therefore the LCM of Fractions 3933/505,4212/1662 is 1840644
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 1662
List of positive integer factors of 1662 that divides 1662 without a remainder.
1,2,3,6,277,554,831,1662
Greatest Common Factor
We found the factors 505,1662 . The biggest common factor number is the GCF number.
So the greatest common factor 505,1662 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 3933/505, 4212/1662?
Answer: LCM of Numerators as per given numbers 3933/505, 4212/1662 is
LCM of Numerators i.e. for 3933,4212 is 1840644
GCF of denominators i.e. for 505,1662 is 1.
Thus, LCM of Fractions is 1840644.Finally, LCM of Fractions for 3933/505, 4212/1662 is 1840644.