Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 455/578, 6062/2088 quickly i.e. 197015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 455/578, 6062/2088 is 197015.
LCM(455/578, 6062/2088) = 197015
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 455/578,6062/2088
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 455,6062
Least Common Multiple of Numerators i.e. LCM of 455,6062 is 394030.
GCF of Denominators means GCF of 578,2088 as per the given fractions.
GCF of 578,2088 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 455,6062
7 | 455, 6062 |
65, 866 |
∴ So the LCM of the given numbers is 7 x 65 x 866 = 394030
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 455,6062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,6062) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(455,6062) x common factors =7 x 1 = 7
LCM(455,6062) = ( 455 × 6062 ) / 7
LCM(455,6062) = 2758210 / 7
LCM(455,6062) = 394030
Lets's calculate GCF of 578,2088
2 | 578, 2088 |
289, 1044 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394030/2
Therefore the LCM of Fractions 455/578,6062/2088 is 197015
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 2088
List of positive integer factors of 2088 that divides 2088 without a remainder.
1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Greatest Common Factor
We found the factors 578,2088 . The biggest common factor number is the GCF number.
So the greatest common factor 578,2088 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 455/578, 6062/2088?
Answer: LCM of Numerators as per given numbers 455/578, 6062/2088 is
LCM of Numerators i.e. for 455,6062 is 394030
GCF of denominators i.e. for 578,2088 is 2.
Thus, LCM of Fractions is 197015.Finally, LCM of Fractions for 455/578, 6062/2088 is 197015.