Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 428/449, 5674/6761 quickly i.e. 1214236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 428/449, 5674/6761 is 1214236.
LCM(428/449, 5674/6761) = 1214236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 428/449,5674/6761
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 428,5674
Least Common Multiple of Numerators i.e. LCM of 428,5674 is 1214236.
GCF of Denominators means GCF of 449,6761 as per the given fractions.
GCF of 449,6761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 428,5674
2 | 428, 5674 |
214, 2837 |
∴ So the LCM of the given numbers is 2 x 214 x 2837 = 1214236
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 428,5674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,5674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,5674) x common factors =2 x 1 = 2
LCM(428,5674) = ( 428 × 5674 ) / 2
LCM(428,5674) = 2428472 / 2
LCM(428,5674) = 1214236
Lets's calculate GCF of 449,6761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1214236/1
Therefore the LCM of Fractions 428/449,5674/6761 is 1214236
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 6761
List of positive integer factors of 6761 that divides 6761 without a remainder.
1,6761
Greatest Common Factor
We found the factors 449,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 449,6761 is 1.
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 428/449, 5674/6761?
Answer: LCM of Numerators as per given numbers 428/449, 5674/6761 is
LCM of Numerators i.e. for 428,5674 is 1214236
GCF of denominators i.e. for 449,6761 is 1.
Thus, LCM of Fractions is 1214236.Finally, LCM of Fractions for 428/449, 5674/6761 is 1214236.