Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/735, 43/317, 487/203 quickly i.e. 460702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/735, 43/317, 487/203 is 460702.
LCM(22/735, 43/317, 487/203) = 460702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/735,43/317,487/203
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 22,43,487
Least Common Multiple of Numerators i.e. LCM of 22,43,487 is 460702.
GCF of Denominators means GCF of 735,317,203 as per the given fractions.
GCF of 735,317,203 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,43,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 460702
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 22,43,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,43,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,43,487) x common factors =1 x 1 = 1
LCM(22,43,487) = ( 22 × 43 × 487 ) / 1
LCM(22,43,487) = 460702 / 1
LCM(22,43,487) = 460702
Lets's calculate GCF of 735,317,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460702/1
Therefore the LCM of Fractions 22/735,43/317,487/203 is 460702
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 735,317,203 . The biggest common factor number is the GCF number.
So the greatest common factor 735,317,203 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 22/735, 43/317, 487/203?
Answer: LCM of Numerators as per given numbers 22/735, 43/317, 487/203 is
LCM of Numerators i.e. for 22,43,487 is 460702
GCF of denominators i.e. for 735,317,203 is 1.
Thus, LCM of Fractions is 460702.Finally, LCM of Fractions for 22/735, 43/317, 487/203 is 460702.