Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 514/88, 483/90, 731/246 quickly i.e. 90739761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 514/88, 483/90, 731/246 is 90739761.
LCM(514/88, 483/90, 731/246) = 90739761
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 514/88,483/90,731/246
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 514,483,731
Least Common Multiple of Numerators i.e. LCM of 514,483,731 is 181479522.
GCF of Denominators means GCF of 88,90,246 as per the given fractions.
GCF of 88,90,246 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 514,483,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 181479522
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 514,483,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,483,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,483,731) x common factors =1 x 1 = 1
LCM(514,483,731) = ( 514 × 483 × 731 ) / 1
LCM(514,483,731) = 181479522 / 1
LCM(514,483,731) = 181479522
Lets's calculate GCF of 88,90,246
2 | 88, 90, 246 |
44, 45, 123 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181479522/2
Therefore the LCM of Fractions 514/88,483/90,731/246 is 90739761
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 88,90,246 . The biggest common factor number is the GCF number.
So the greatest common factor 88,90,246 is 2.
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 514/88, 483/90, 731/246?
Answer: LCM of Numerators as per given numbers 514/88, 483/90, 731/246 is
LCM of Numerators i.e. for 514,483,731 is 181479522
GCF of denominators i.e. for 88,90,246 is 2.
Thus, LCM of Fractions is 90739761.Finally, LCM of Fractions for 514/88, 483/90, 731/246 is 90739761.