Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 178/565, 2898/6411 quickly i.e. 257922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 178/565, 2898/6411 is 257922.
LCM(178/565, 2898/6411) = 257922
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 178/565,2898/6411
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 178,2898
Least Common Multiple of Numerators i.e. LCM of 178,2898 is 257922.
GCF of Denominators means GCF of 565,6411 as per the given fractions.
GCF of 565,6411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 178,2898
2 | 178, 2898 |
89, 1449 |
∴ So the LCM of the given numbers is 2 x 89 x 1449 = 257922
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 178,2898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,2898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,2898) x common factors =2 x 1 = 2
LCM(178,2898) = ( 178 × 2898 ) / 2
LCM(178,2898) = 515844 / 2
LCM(178,2898) = 257922
Lets's calculate GCF of 565,6411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257922/1
Therefore the LCM of Fractions 178/565,2898/6411 is 257922
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 6411
List of positive integer factors of 6411 that divides 6411 without a remainder.
1,3,2137,6411
Greatest Common Factor
We found the factors 565,6411 . The biggest common factor number is the GCF number.
So the greatest common factor 565,6411 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 178/565, 2898/6411?
Answer: LCM of Numerators as per given numbers 178/565, 2898/6411 is
LCM of Numerators i.e. for 178,2898 is 257922
GCF of denominators i.e. for 565,6411 is 1.
Thus, LCM of Fractions is 257922.Finally, LCM of Fractions for 178/565, 2898/6411 is 257922.