Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6253/498, 6201/3106 quickly i.e. 2982681/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6253/498, 6201/3106 is 2982681/2.
LCM(6253/498, 6201/3106) = 2982681/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6253/498,6201/3106
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 6253,6201
Least Common Multiple of Numerators i.e. LCM of 6253,6201 is 2982681.
GCF of Denominators means GCF of 498,3106 as per the given fractions.
GCF of 498,3106 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6253,6201
13 | 6253, 6201 |
481, 477 |
∴ So the LCM of the given numbers is 13 x 481 x 477 = 2982681
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 6253,6201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6253,6201) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(6253,6201) x common factors =13 x 1 = 13
LCM(6253,6201) = ( 6253 × 6201 ) / 13
LCM(6253,6201) = 38774853 / 13
LCM(6253,6201) = 2982681
Lets's calculate GCF of 498,3106
2 | 498, 3106 |
249, 1553 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2982681/2
Therefore the LCM of Fractions 6253/498,6201/3106 is 2982681/2
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 3106
List of positive integer factors of 3106 that divides 3106 without a remainder.
1,2,1553,3106
Greatest Common Factor
We found the factors 498,3106 . The biggest common factor number is the GCF number.
So the greatest common factor 498,3106 is 2.
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 6253/498, 6201/3106?
Answer: LCM of Numerators as per given numbers 6253/498, 6201/3106 is
LCM of Numerators i.e. for 6253,6201 is 2982681
GCF of denominators i.e. for 498,3106 is 2.
Thus, LCM of Fractions is 2982681/2.Finally, LCM of Fractions for 6253/498, 6201/3106 is 2982681/2.