Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/455, 8562/2622 quickly i.e. 470910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/455, 8562/2622 is 470910.
LCM(55/455, 8562/2622) = 470910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/455,8562/2622
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 55,8562
Least Common Multiple of Numerators i.e. LCM of 55,8562 is 470910.
GCF of Denominators means GCF of 455,2622 as per the given fractions.
GCF of 455,2622 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,8562
Given numbers has no common factors except 1. So, there LCM is their product i.e 470910
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 55,8562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,8562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,8562) x common factors =1 x 1 = 1
LCM(55,8562) = ( 55 × 8562 ) / 1
LCM(55,8562) = 470910 / 1
LCM(55,8562) = 470910
Lets's calculate GCF of 455,2622
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470910/1
Therefore the LCM of Fractions 55/455,8562/2622 is 470910
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 2622
List of positive integer factors of 2622 that divides 2622 without a remainder.
1,2,3,6,19,23,38,46,57,69,114,138,437,874,1311,2622
Greatest Common Factor
We found the factors 455,2622 . The biggest common factor number is the GCF number.
So the greatest common factor 455,2622 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 55/455, 8562/2622?
Answer: LCM of Numerators as per given numbers 55/455, 8562/2622 is
LCM of Numerators i.e. for 55,8562 is 470910
GCF of denominators i.e. for 455,2622 is 1.
Thus, LCM of Fractions is 470910.Finally, LCM of Fractions for 55/455, 8562/2622 is 470910.