Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 621/495, 313/902 quickly i.e. 194373/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 621/495, 313/902 is 194373/11.
LCM(621/495, 313/902) = 194373/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 621/495,313/902
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 621,313
Least Common Multiple of Numerators i.e. LCM of 621,313 is 194373.
GCF of Denominators means GCF of 495,902 as per the given fractions.
GCF of 495,902 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 621,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 194373
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 621,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,313) x common factors =1 x 1 = 1
LCM(621,313) = ( 621 × 313 ) / 1
LCM(621,313) = 194373 / 1
LCM(621,313) = 194373
Lets's calculate GCF of 495,902
11 | 495, 902 |
45, 82 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194373/11
Therefore the LCM of Fractions 621/495,313/902 is 194373/11
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 495,902 . The biggest common factor number is the GCF number.
So the greatest common factor 495,902 is 11.
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 621/495, 313/902?
Answer: LCM of Numerators as per given numbers 621/495, 313/902 is
LCM of Numerators i.e. for 621,313 is 194373
GCF of denominators i.e. for 495,902 is 11.
Thus, LCM of Fractions is 194373/11.Finally, LCM of Fractions for 621/495, 313/902 is 194373/11.