Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2338/84, 5556/266 quickly i.e. 463926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2338/84, 5556/266 is 463926.
LCM(2338/84, 5556/266) = 463926
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2338/84,5556/266
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 2338,5556
Least Common Multiple of Numerators i.e. LCM of 2338,5556 is 6494964.
GCF of Denominators means GCF of 84,266 as per the given fractions.
GCF of 84,266 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2338,5556
2 | 2338, 5556 |
1169, 2778 |
∴ So the LCM of the given numbers is 2 x 1169 x 2778 = 6494964
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 2338,5556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2338,5556) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2338,5556) x common factors =2 x 1 = 2
LCM(2338,5556) = ( 2338 × 5556 ) / 2
LCM(2338,5556) = 12989928 / 2
LCM(2338,5556) = 6494964
Lets's calculate GCF of 84,266
2 | 84, 266 |
7 | 42, 133 |
6, 19 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6494964/14
Therefore the LCM of Fractions 2338/84,5556/266 is 463926
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 84,266 . The biggest common factor number is the GCF number.
So the greatest common factor 84,266 is 14.
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 2338/84, 5556/266?
Answer: LCM of Numerators as per given numbers 2338/84, 5556/266 is
LCM of Numerators i.e. for 2338,5556 is 6494964
GCF of denominators i.e. for 84,266 is 14.
Thus, LCM of Fractions is 463926.Finally, LCM of Fractions for 2338/84, 5556/266 is 463926.