Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 477/281, 890/489, 978/571 quickly i.e. 69198390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 477/281, 890/489, 978/571 is 69198390.
LCM(477/281, 890/489, 978/571) = 69198390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 477/281,890/489,978/571
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 477,890,978
Least Common Multiple of Numerators i.e. LCM of 477,890,978 is 69198390.
GCF of Denominators means GCF of 281,489,571 as per the given fractions.
GCF of 281,489,571 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 477,890,978
2 | 477, 890, 978 |
3 | 477, 445, 489 |
159, 445, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 159 x 445 x 163 = 69198390
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 477,890,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,890,978) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(477,890,978) x common factors =1 x 6 = 6
LCM(477,890,978) = ( 477 × 890 × 978 ) / 6
LCM(477,890,978) = 415190340 / 6
LCM(477,890,978) = 69198390
Lets's calculate GCF of 281,489,571
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69198390/1
Therefore the LCM of Fractions 477/281,890/489,978/571 is 69198390
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Greatest Common Factor
We found the factors 281,489,571 . The biggest common factor number is the GCF number.
So the greatest common factor 281,489,571 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 477/281, 890/489, 978/571?
Answer: LCM of Numerators as per given numbers 477/281, 890/489, 978/571 is
LCM of Numerators i.e. for 477,890,978 is 69198390
GCF of denominators i.e. for 281,489,571 is 1.
Thus, LCM of Fractions is 69198390.Finally, LCM of Fractions for 477/281, 890/489, 978/571 is 69198390.