Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 881/447, 6451/4074 quickly i.e. 5683331/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 881/447, 6451/4074 is 5683331/3.
LCM(881/447, 6451/4074) = 5683331/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 881/447,6451/4074
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 881,6451
Least Common Multiple of Numerators i.e. LCM of 881,6451 is 5683331.
GCF of Denominators means GCF of 447,4074 as per the given fractions.
GCF of 447,4074 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 881,6451
Given numbers has no common factors except 1. So, there LCM is their product i.e 5683331
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 881,6451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,6451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,6451) x common factors =1 x 1 = 1
LCM(881,6451) = ( 881 × 6451 ) / 1
LCM(881,6451) = 5683331 / 1
LCM(881,6451) = 5683331
Lets's calculate GCF of 447,4074
3 | 447, 4074 |
149, 1358 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5683331/3
Therefore the LCM of Fractions 881/447,6451/4074 is 5683331/3
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 4074
List of positive integer factors of 4074 that divides 4074 without a remainder.
1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074
Greatest Common Factor
We found the factors 447,4074 . The biggest common factor number is the GCF number.
So the greatest common factor 447,4074 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 881/447, 6451/4074?
Answer: LCM of Numerators as per given numbers 881/447, 6451/4074 is
LCM of Numerators i.e. for 881,6451 is 5683331
GCF of denominators i.e. for 447,4074 is 3.
Thus, LCM of Fractions is 5683331/3.Finally, LCM of Fractions for 881/447, 6451/4074 is 5683331/3.