Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 621/291, 7977/198 quickly i.e. 550413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 621/291, 7977/198 is 550413.
LCM(621/291, 7977/198) = 550413
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 621/291,7977/198
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 621,7977
Least Common Multiple of Numerators i.e. LCM of 621,7977 is 1651239.
GCF of Denominators means GCF of 291,198 as per the given fractions.
GCF of 291,198 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 621,7977
3 | 621, 7977 |
207, 2659 |
∴ So the LCM of the given numbers is 3 x 207 x 2659 = 1651239
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 621,7977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,7977) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(621,7977) x common factors =3 x 1 = 3
LCM(621,7977) = ( 621 × 7977 ) / 3
LCM(621,7977) = 4953717 / 3
LCM(621,7977) = 1651239
Lets's calculate GCF of 291,198
3 | 291, 198 |
97, 66 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1651239/3
Therefore the LCM of Fractions 621/291,7977/198 is 550413
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 291,198 . The biggest common factor number is the GCF number.
So the greatest common factor 291,198 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 621/291, 7977/198?
Answer: LCM of Numerators as per given numbers 621/291, 7977/198 is
LCM of Numerators i.e. for 621,7977 is 1651239
GCF of denominators i.e. for 291,198 is 3.
Thus, LCM of Fractions is 550413.Finally, LCM of Fractions for 621/291, 7977/198 is 550413.