Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 578/55, 119/7327 quickly i.e. 4046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 578/55, 119/7327 is 4046.
LCM(578/55, 119/7327) = 4046
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 578/55,119/7327
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 578,119
Least Common Multiple of Numerators i.e. LCM of 578,119 is 4046.
GCF of Denominators means GCF of 55,7327 as per the given fractions.
GCF of 55,7327 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 578,119
17 | 578, 119 |
34, 7 |
∴ So the LCM of the given numbers is 17 x 34 x 7 = 4046
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 578,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,119) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(578,119) x common factors =17 x 1 = 17
LCM(578,119) = ( 578 × 119 ) / 17
LCM(578,119) = 68782 / 17
LCM(578,119) = 4046
Lets's calculate GCF of 55,7327
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4046/1
Therefore the LCM of Fractions 578/55,119/7327 is 4046
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 7327
List of positive integer factors of 7327 that divides 7327 without a remainder.
1,17,431,7327
Greatest Common Factor
We found the factors 55,7327 . The biggest common factor number is the GCF number.
So the greatest common factor 55,7327 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 578/55, 119/7327?
Answer: LCM of Numerators as per given numbers 578/55, 119/7327 is
LCM of Numerators i.e. for 578,119 is 4046
GCF of denominators i.e. for 55,7327 is 1.
Thus, LCM of Fractions is 4046.Finally, LCM of Fractions for 578/55, 119/7327 is 4046.