Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1556/381, 4049/2187 quickly i.e. 6300244/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1556/381, 4049/2187 is 6300244/3.
LCM(1556/381, 4049/2187) = 6300244/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1556/381,4049/2187
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 1556,4049
Least Common Multiple of Numerators i.e. LCM of 1556,4049 is 6300244.
GCF of Denominators means GCF of 381,2187 as per the given fractions.
GCF of 381,2187 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1556,4049
Given numbers has no common factors except 1. So, there LCM is their product i.e 6300244
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 1556,4049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1556,4049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1556,4049) x common factors =1 x 1 = 1
LCM(1556,4049) = ( 1556 × 4049 ) / 1
LCM(1556,4049) = 6300244 / 1
LCM(1556,4049) = 6300244
Lets's calculate GCF of 381,2187
3 | 381, 2187 |
127, 729 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6300244/3
Therefore the LCM of Fractions 1556/381,4049/2187 is 6300244/3
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 2187
List of positive integer factors of 2187 that divides 2187 without a remainder.
1,3,9,27,81,243,729,2187
Greatest Common Factor
We found the factors 381,2187 . The biggest common factor number is the GCF number.
So the greatest common factor 381,2187 is 3.
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 1556/381, 4049/2187?
Answer: LCM of Numerators as per given numbers 1556/381, 4049/2187 is
LCM of Numerators i.e. for 1556,4049 is 6300244
GCF of denominators i.e. for 381,2187 is 3.
Thus, LCM of Fractions is 6300244/3.Finally, LCM of Fractions for 1556/381, 4049/2187 is 6300244/3.