Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/453, 43/200, 260/429 quickly i.e. 816140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/453, 43/200, 260/429 is 816140.
LCM(73/453, 43/200, 260/429) = 816140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/453,43/200,260/429
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 73,43,260
Least Common Multiple of Numerators i.e. LCM of 73,43,260 is 816140.
GCF of Denominators means GCF of 453,200,429 as per the given fractions.
GCF of 453,200,429 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,43,260
Given numbers has no common factors except 1. So, there LCM is their product i.e 816140
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 73,43,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,43,260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,43,260) x common factors =1 x 1 = 1
LCM(73,43,260) = ( 73 × 43 × 260 ) / 1
LCM(73,43,260) = 816140 / 1
LCM(73,43,260) = 816140
Lets's calculate GCF of 453,200,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816140/1
Therefore the LCM of Fractions 73/453,43/200,260/429 is 816140
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
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 453,200,429 . The biggest common factor number is the GCF number.
So the greatest common factor 453,200,429 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 73/453, 43/200, 260/429?
Answer: LCM of Numerators as per given numbers 73/453, 43/200, 260/429 is
LCM of Numerators i.e. for 73,43,260 is 816140
GCF of denominators i.e. for 453,200,429 is 1.
Thus, LCM of Fractions is 816140.Finally, LCM of Fractions for 73/453, 43/200, 260/429 is 816140.