Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 464/138, 577/198 quickly i.e. 267728/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 464/138, 577/198 is 267728/6.
LCM(464/138, 577/198) = 267728/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 464/138,577/198
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 464,577
Least Common Multiple of Numerators i.e. LCM of 464,577 is 267728.
GCF of Denominators means GCF of 138,198 as per the given fractions.
GCF of 138,198 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 464,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 267728
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 464,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,577) x common factors =1 x 1 = 1
LCM(464,577) = ( 464 × 577 ) / 1
LCM(464,577) = 267728 / 1
LCM(464,577) = 267728
Lets's calculate GCF of 138,198
2 | 138, 198 |
3 | 69, 99 |
23, 33 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267728/6
Therefore the LCM of Fractions 464/138,577/198 is 267728/6
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
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 138,198 . The biggest common factor number is the GCF number.
So the greatest common factor 138,198 is 6.
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 464/138, 577/198?
Answer: LCM of Numerators as per given numbers 464/138, 577/198 is
LCM of Numerators i.e. for 464,577 is 267728
GCF of denominators i.e. for 138,198 is 6.
Thus, LCM of Fractions is 267728/6.Finally, LCM of Fractions for 464/138, 577/198 is 267728/6.