Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/606, 3612/6226 quickly i.e. 84882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/606, 3612/6226 is 84882.
LCM(94/606, 3612/6226) = 84882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/606,3612/6226
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 94,3612
Least Common Multiple of Numerators i.e. LCM of 94,3612 is 169764.
GCF of Denominators means GCF of 606,6226 as per the given fractions.
GCF of 606,6226 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,3612
2 | 94, 3612 |
47, 1806 |
∴ So the LCM of the given numbers is 2 x 47 x 1806 = 169764
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 94,3612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,3612) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,3612) x common factors =2 x 1 = 2
LCM(94,3612) = ( 94 × 3612 ) / 2
LCM(94,3612) = 339528 / 2
LCM(94,3612) = 169764
Lets's calculate GCF of 606,6226
2 | 606, 6226 |
303, 3113 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169764/2
Therefore the LCM of Fractions 94/606,3612/6226 is 84882
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 6226
List of positive integer factors of 6226 that divides 6226 without a remainder.
1,2,11,22,283,566,3113,6226
Greatest Common Factor
We found the factors 606,6226 . The biggest common factor number is the GCF number.
So the greatest common factor 606,6226 is 2.
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 94/606, 3612/6226?
Answer: LCM of Numerators as per given numbers 94/606, 3612/6226 is
LCM of Numerators i.e. for 94,3612 is 169764
GCF of denominators i.e. for 606,6226 is 2.
Thus, LCM of Fractions is 84882.Finally, LCM of Fractions for 94/606, 3612/6226 is 84882.