Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 729/445, 2850/1351 quickly i.e. 692550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 729/445, 2850/1351 is 692550.
LCM(729/445, 2850/1351) = 692550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 729/445,2850/1351
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 729,2850
Least Common Multiple of Numerators i.e. LCM of 729,2850 is 692550.
GCF of Denominators means GCF of 445,1351 as per the given fractions.
GCF of 445,1351 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 729,2850
3 | 729, 2850 |
243, 950 |
∴ So the LCM of the given numbers is 3 x 243 x 950 = 692550
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 729,2850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,2850) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,2850) x common factors =3 x 1 = 3
LCM(729,2850) = ( 729 × 2850 ) / 3
LCM(729,2850) = 2077650 / 3
LCM(729,2850) = 692550
Lets's calculate GCF of 445,1351
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692550/1
Therefore the LCM of Fractions 729/445,2850/1351 is 692550
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1,7,193,1351
Greatest Common Factor
We found the factors 445,1351 . The biggest common factor number is the GCF number.
So the greatest common factor 445,1351 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 729/445, 2850/1351?
Answer: LCM of Numerators as per given numbers 729/445, 2850/1351 is
LCM of Numerators i.e. for 729,2850 is 692550
GCF of denominators i.e. for 445,1351 is 1.
Thus, LCM of Fractions is 692550.Finally, LCM of Fractions for 729/445, 2850/1351 is 692550.