Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2274/524, 4206/7772 quickly i.e. 1594074/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2274/524, 4206/7772 is 1594074/4.
LCM(2274/524, 4206/7772) = 1594074/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2274/524,4206/7772
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 2274,4206
Least Common Multiple of Numerators i.e. LCM of 2274,4206 is 1594074.
GCF of Denominators means GCF of 524,7772 as per the given fractions.
GCF of 524,7772 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2274,4206
2 | 2274, 4206 |
3 | 1137, 2103 |
379, 701 |
∴ So the LCM of the given numbers is 2 x 3 x 379 x 701 = 1594074
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 2274,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2274,4206) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(2274,4206) x common factors =6 x 1 = 6
LCM(2274,4206) = ( 2274 × 4206 ) / 6
LCM(2274,4206) = 9564444 / 6
LCM(2274,4206) = 1594074
Lets's calculate GCF of 524,7772
2 | 524, 7772 |
2 | 262, 3886 |
131, 1943 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594074/4
Therefore the LCM of Fractions 2274/524,4206/7772 is 1594074/4
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 7772
List of positive integer factors of 7772 that divides 7772 without a remainder.
1,2,4,29,58,67,116,134,268,1943,3886,7772
Greatest Common Factor
We found the factors 524,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 524,7772 is 4.
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 2274/524, 4206/7772?
Answer: LCM of Numerators as per given numbers 2274/524, 4206/7772 is
LCM of Numerators i.e. for 2274,4206 is 1594074
GCF of denominators i.e. for 524,7772 is 4.
Thus, LCM of Fractions is 1594074/4.Finally, LCM of Fractions for 2274/524, 4206/7772 is 1594074/4.