Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3084/274, 4707/5914 quickly i.e. 2419398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3084/274, 4707/5914 is 2419398.
LCM(3084/274, 4707/5914) = 2419398
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3084/274,4707/5914
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 3084,4707
Least Common Multiple of Numerators i.e. LCM of 3084,4707 is 4838796.
GCF of Denominators means GCF of 274,5914 as per the given fractions.
GCF of 274,5914 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3084,4707
3 | 3084, 4707 |
1028, 1569 |
∴ So the LCM of the given numbers is 3 x 1028 x 1569 = 4838796
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 3084,4707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3084,4707) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3084,4707) x common factors =3 x 1 = 3
LCM(3084,4707) = ( 3084 × 4707 ) / 3
LCM(3084,4707) = 14516388 / 3
LCM(3084,4707) = 4838796
Lets's calculate GCF of 274,5914
2 | 274, 5914 |
137, 2957 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4838796/2
Therefore the LCM of Fractions 3084/274,4707/5914 is 2419398
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 5914
List of positive integer factors of 5914 that divides 5914 without a remainder.
1,2,2957,5914
Greatest Common Factor
We found the factors 274,5914 . The biggest common factor number is the GCF number.
So the greatest common factor 274,5914 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 3084/274, 4707/5914?
Answer: LCM of Numerators as per given numbers 3084/274, 4707/5914 is
LCM of Numerators i.e. for 3084,4707 is 4838796
GCF of denominators i.e. for 274,5914 is 2.
Thus, LCM of Fractions is 2419398.Finally, LCM of Fractions for 3084/274, 4707/5914 is 2419398.