Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/978, 126/893, 315/561 quickly i.e. 303030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/978, 126/893, 315/561 is 303030.
LCM(481/978, 126/893, 315/561) = 303030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/978,126/893,315/561
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 481,126,315
Least Common Multiple of Numerators i.e. LCM of 481,126,315 is 303030.
GCF of Denominators means GCF of 978,893,561 as per the given fractions.
GCF of 978,893,561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,126,315
3 | 481, 126, 315 |
3 | 481, 42, 105 |
7 | 481, 14, 35 |
481, 2, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 481 x 2 x 5 = 303030
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 481,126,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,126,315) = 1
common factors(in case of two or more numbers have common factors) = 63
GCF(481,126,315) x common factors =1 x 63 = 63
LCM(481,126,315) = ( 481 × 126 × 315 ) / 63
LCM(481,126,315) = 19090890 / 63
LCM(481,126,315) = 303030
Lets's calculate GCF of 978,893,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303030/1
Therefore the LCM of Fractions 481/978,126/893,315/561 is 303030
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 978,893,561 . The biggest common factor number is the GCF number.
So the greatest common factor 978,893,561 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 481/978, 126/893, 315/561?
Answer: LCM of Numerators as per given numbers 481/978, 126/893, 315/561 is
LCM of Numerators i.e. for 481,126,315 is 303030
GCF of denominators i.e. for 978,893,561 is 1.
Thus, LCM of Fractions is 303030.Finally, LCM of Fractions for 481/978, 126/893, 315/561 is 303030.