Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/485, 7150/1761 quickly i.e. 207350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/485, 7150/1761 is 207350.
LCM(29/485, 7150/1761) = 207350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/485,7150/1761
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 29,7150
Least Common Multiple of Numerators i.e. LCM of 29,7150 is 207350.
GCF of Denominators means GCF of 485,1761 as per the given fractions.
GCF of 485,1761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,7150
Given numbers has no common factors except 1. So, there LCM is their product i.e 207350
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 29,7150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,7150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,7150) x common factors =1 x 1 = 1
LCM(29,7150) = ( 29 × 7150 ) / 1
LCM(29,7150) = 207350 / 1
LCM(29,7150) = 207350
Lets's calculate GCF of 485,1761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207350/1
Therefore the LCM of Fractions 29/485,7150/1761 is 207350
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 1761
List of positive integer factors of 1761 that divides 1761 without a remainder.
1,3,587,1761
Greatest Common Factor
We found the factors 485,1761 . The biggest common factor number is the GCF number.
So the greatest common factor 485,1761 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 29/485, 7150/1761?
Answer: LCM of Numerators as per given numbers 29/485, 7150/1761 is
LCM of Numerators i.e. for 29,7150 is 207350
GCF of denominators i.e. for 485,1761 is 1.
Thus, LCM of Fractions is 207350.Finally, LCM of Fractions for 29/485, 7150/1761 is 207350.