Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/428, 6248/6819 quickly i.e. 768504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/428, 6248/6819 is 768504.
LCM(246/428, 6248/6819) = 768504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/428,6248/6819
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 246,6248
Least Common Multiple of Numerators i.e. LCM of 246,6248 is 768504.
GCF of Denominators means GCF of 428,6819 as per the given fractions.
GCF of 428,6819 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,6248
2 | 246, 6248 |
123, 3124 |
∴ So the LCM of the given numbers is 2 x 123 x 3124 = 768504
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 246,6248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,6248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,6248) x common factors =2 x 1 = 2
LCM(246,6248) = ( 246 × 6248 ) / 2
LCM(246,6248) = 1537008 / 2
LCM(246,6248) = 768504
Lets's calculate GCF of 428,6819
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768504/1
Therefore the LCM of Fractions 246/428,6248/6819 is 768504
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 6819
List of positive integer factors of 6819 that divides 6819 without a remainder.
1,3,2273,6819
Greatest Common Factor
We found the factors 428,6819 . The biggest common factor number is the GCF number.
So the greatest common factor 428,6819 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 246/428, 6248/6819?
Answer: LCM of Numerators as per given numbers 246/428, 6248/6819 is
LCM of Numerators i.e. for 246,6248 is 768504
GCF of denominators i.e. for 428,6819 is 1.
Thus, LCM of Fractions is 768504.Finally, LCM of Fractions for 246/428, 6248/6819 is 768504.