Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 453/570, 199/949, 325/429 quickly i.e. 29297775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 453/570, 199/949, 325/429 is 29297775.
LCM(453/570, 199/949, 325/429) = 29297775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 453/570,199/949,325/429
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 453,199,325
Least Common Multiple of Numerators i.e. LCM of 453,199,325 is 29297775.
GCF of Denominators means GCF of 570,949,429 as per the given fractions.
GCF of 570,949,429 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 453,199,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 29297775
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 453,199,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,199,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,199,325) x common factors =1 x 1 = 1
LCM(453,199,325) = ( 453 × 199 × 325 ) / 1
LCM(453,199,325) = 29297775 / 1
LCM(453,199,325) = 29297775
Lets's calculate GCF of 570,949,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29297775/1
Therefore the LCM of Fractions 453/570,199/949,325/429 is 29297775
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 570,949,429 . The biggest common factor number is the GCF number.
So the greatest common factor 570,949,429 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 453/570, 199/949, 325/429?
Answer: LCM of Numerators as per given numbers 453/570, 199/949, 325/429 is
LCM of Numerators i.e. for 453,199,325 is 29297775
GCF of denominators i.e. for 570,949,429 is 1.
Thus, LCM of Fractions is 29297775.Finally, LCM of Fractions for 453/570, 199/949, 325/429 is 29297775.