Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/721, 26/145, 575/649 quickly i.e. 44850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/721, 26/145, 575/649 is 44850.
LCM(30/721, 26/145, 575/649) = 44850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/721,26/145,575/649
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 30,26,575
Least Common Multiple of Numerators i.e. LCM of 30,26,575 is 44850.
GCF of Denominators means GCF of 721,145,649 as per the given fractions.
GCF of 721,145,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,26,575
2 | 30, 26, 575 |
5 | 15, 13, 575 |
3, 13, 115 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 13 x 115 = 44850
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 30,26,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,26,575) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(30,26,575) x common factors =1 x 10 = 10
LCM(30,26,575) = ( 30 × 26 × 575 ) / 10
LCM(30,26,575) = 448500 / 10
LCM(30,26,575) = 44850
Lets's calculate GCF of 721,145,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44850/1
Therefore the LCM of Fractions 30/721,26/145,575/649 is 44850
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 721,145,649 . The biggest common factor number is the GCF number.
So the greatest common factor 721,145,649 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 30/721, 26/145, 575/649?
Answer: LCM of Numerators as per given numbers 30/721, 26/145, 575/649 is
LCM of Numerators i.e. for 30,26,575 is 44850
GCF of denominators i.e. for 721,145,649 is 1.
Thus, LCM of Fractions is 44850.Finally, LCM of Fractions for 30/721, 26/145, 575/649 is 44850.