Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/507, 3798/6977 quickly i.e. 186102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/507, 3798/6977 is 186102.
LCM(98/507, 3798/6977) = 186102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/507,3798/6977
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 98,3798
Least Common Multiple of Numerators i.e. LCM of 98,3798 is 186102.
GCF of Denominators means GCF of 507,6977 as per the given fractions.
GCF of 507,6977 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,3798
2 | 98, 3798 |
49, 1899 |
∴ So the LCM of the given numbers is 2 x 49 x 1899 = 186102
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 98,3798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,3798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,3798) x common factors =2 x 1 = 2
LCM(98,3798) = ( 98 × 3798 ) / 2
LCM(98,3798) = 372204 / 2
LCM(98,3798) = 186102
Lets's calculate GCF of 507,6977
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186102/1
Therefore the LCM of Fractions 98/507,3798/6977 is 186102
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 6977
List of positive integer factors of 6977 that divides 6977 without a remainder.
1,6977
Greatest Common Factor
We found the factors 507,6977 . The biggest common factor number is the GCF number.
So the greatest common factor 507,6977 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 98/507, 3798/6977?
Answer: LCM of Numerators as per given numbers 98/507, 3798/6977 is
LCM of Numerators i.e. for 98,3798 is 186102
GCF of denominators i.e. for 507,6977 is 1.
Thus, LCM of Fractions is 186102.Finally, LCM of Fractions for 98/507, 3798/6977 is 186102.