Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 435/800, 4442/455 quickly i.e. 386454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 435/800, 4442/455 is 386454.
LCM(435/800, 4442/455) = 386454
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 435/800,4442/455
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 435,4442
Least Common Multiple of Numerators i.e. LCM of 435,4442 is 1932270.
GCF of Denominators means GCF of 800,455 as per the given fractions.
GCF of 800,455 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 435,4442
Given numbers has no common factors except 1. So, there LCM is their product i.e 1932270
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 435,4442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,4442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,4442) x common factors =1 x 1 = 1
LCM(435,4442) = ( 435 × 4442 ) / 1
LCM(435,4442) = 1932270 / 1
LCM(435,4442) = 1932270
Lets's calculate GCF of 800,455
5 | 800, 455 |
160, 91 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1932270/5
Therefore the LCM of Fractions 435/800,4442/455 is 386454
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 800,455 . The biggest common factor number is the GCF number.
So the greatest common factor 800,455 is 5.
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 435/800, 4442/455?
Answer: LCM of Numerators as per given numbers 435/800, 4442/455 is
LCM of Numerators i.e. for 435,4442 is 1932270
GCF of denominators i.e. for 800,455 is 5.
Thus, LCM of Fractions is 386454.Finally, LCM of Fractions for 435/800, 4442/455 is 386454.