Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3137/246, 6292/7659 quickly i.e. 19738004/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3137/246, 6292/7659 is 19738004/3.
LCM(3137/246, 6292/7659) = 19738004/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3137/246,6292/7659
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 3137,6292
Least Common Multiple of Numerators i.e. LCM of 3137,6292 is 19738004.
GCF of Denominators means GCF of 246,7659 as per the given fractions.
GCF of 246,7659 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3137,6292
Given numbers has no common factors except 1. So, there LCM is their product i.e 19738004
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 3137,6292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3137,6292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3137,6292) x common factors =1 x 1 = 1
LCM(3137,6292) = ( 3137 × 6292 ) / 1
LCM(3137,6292) = 19738004 / 1
LCM(3137,6292) = 19738004
Lets's calculate GCF of 246,7659
3 | 246, 7659 |
82, 2553 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19738004/3
Therefore the LCM of Fractions 3137/246,6292/7659 is 19738004/3
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 7659
List of positive integer factors of 7659 that divides 7659 without a remainder.
1,3,9,23,37,69,111,207,333,851,2553,7659
Greatest Common Factor
We found the factors 246,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 246,7659 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 3137/246, 6292/7659?
Answer: LCM of Numerators as per given numbers 3137/246, 6292/7659 is
LCM of Numerators i.e. for 3137,6292 is 19738004
GCF of denominators i.e. for 246,7659 is 3.
Thus, LCM of Fractions is 19738004/3.Finally, LCM of Fractions for 3137/246, 6292/7659 is 19738004/3.