Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 574/27, 551/95, 442/89 quickly i.e. 69896554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 574/27, 551/95, 442/89 is 69896554.
LCM(574/27, 551/95, 442/89) = 69896554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 574/27,551/95,442/89
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 574,551,442
Least Common Multiple of Numerators i.e. LCM of 574,551,442 is 69896554.
GCF of Denominators means GCF of 27,95,89 as per the given fractions.
GCF of 27,95,89 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 574,551,442
2 | 574, 551, 442 |
287, 551, 221 |
∴ So the LCM of the given numbers is 2 x 287 x 551 x 221 = 69896554
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 574,551,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,551,442) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(574,551,442) x common factors =1 x 2 = 2
LCM(574,551,442) = ( 574 × 551 × 442 ) / 2
LCM(574,551,442) = 139793108 / 2
LCM(574,551,442) = 69896554
Lets's calculate GCF of 27,95,89
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69896554/1
Therefore the LCM of Fractions 574/27,551/95,442/89 is 69896554
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Greatest Common Factor
We found the factors 27,95,89 . The biggest common factor number is the GCF number.
So the greatest common factor 27,95,89 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 574/27, 551/95, 442/89?
Answer: LCM of Numerators as per given numbers 574/27, 551/95, 442/89 is
LCM of Numerators i.e. for 574,551,442 is 69896554
GCF of denominators i.e. for 27,95,89 is 1.
Thus, LCM of Fractions is 69896554.Finally, LCM of Fractions for 574/27, 551/95, 442/89 is 69896554.