Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4016/556, 2819/8942 quickly i.e. 5660552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4016/556, 2819/8942 is 5660552.
LCM(4016/556, 2819/8942) = 5660552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4016/556,2819/8942
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 4016,2819
Least Common Multiple of Numerators i.e. LCM of 4016,2819 is 11321104.
GCF of Denominators means GCF of 556,8942 as per the given fractions.
GCF of 556,8942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4016,2819
Given numbers has no common factors except 1. So, there LCM is their product i.e 11321104
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 4016,2819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4016,2819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4016,2819) x common factors =1 x 1 = 1
LCM(4016,2819) = ( 4016 × 2819 ) / 1
LCM(4016,2819) = 11321104 / 1
LCM(4016,2819) = 11321104
Lets's calculate GCF of 556,8942
2 | 556, 8942 |
278, 4471 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11321104/2
Therefore the LCM of Fractions 4016/556,2819/8942 is 5660552
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 8942
List of positive integer factors of 8942 that divides 8942 without a remainder.
1,2,17,34,263,526,4471,8942
Greatest Common Factor
We found the factors 556,8942 . The biggest common factor number is the GCF number.
So the greatest common factor 556,8942 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 4016/556, 2819/8942?
Answer: LCM of Numerators as per given numbers 4016/556, 2819/8942 is
LCM of Numerators i.e. for 4016,2819 is 11321104
GCF of denominators i.e. for 556,8942 is 2.
Thus, LCM of Fractions is 5660552.Finally, LCM of Fractions for 4016/556, 2819/8942 is 5660552.