Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 495/899, 122/242 quickly i.e. 60390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 495/899, 122/242 is 60390.
LCM(495/899, 122/242) = 60390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 495/899,122/242
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 495,122
Least Common Multiple of Numerators i.e. LCM of 495,122 is 60390.
GCF of Denominators means GCF of 899,242 as per the given fractions.
GCF of 899,242 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 495,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 60390
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 495,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,122) x common factors =1 x 1 = 1
LCM(495,122) = ( 495 × 122 ) / 1
LCM(495,122) = 60390 / 1
LCM(495,122) = 60390
Lets's calculate GCF of 899,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60390/1
Therefore the LCM of Fractions 495/899,122/242 is 60390
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 899,242 . The biggest common factor number is the GCF number.
So the greatest common factor 899,242 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 495/899, 122/242?
Answer: LCM of Numerators as per given numbers 495/899, 122/242 is
LCM of Numerators i.e. for 495,122 is 60390
GCF of denominators i.e. for 899,242 is 1.
Thus, LCM of Fractions is 60390.Finally, LCM of Fractions for 495/899, 122/242 is 60390.