Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/495, 2518/4923 quickly i.e. 173742/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/495, 2518/4923 is 173742/9.
LCM(69/495, 2518/4923) = 173742/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/495,2518/4923
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 69,2518
Least Common Multiple of Numerators i.e. LCM of 69,2518 is 173742.
GCF of Denominators means GCF of 495,4923 as per the given fractions.
GCF of 495,4923 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,2518
Given numbers has no common factors except 1. So, there LCM is their product i.e 173742
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 69,2518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,2518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,2518) x common factors =1 x 1 = 1
LCM(69,2518) = ( 69 × 2518 ) / 1
LCM(69,2518) = 173742 / 1
LCM(69,2518) = 173742
Lets's calculate GCF of 495,4923
3 | 495, 4923 |
3 | 165, 1641 |
55, 547 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173742/9
Therefore the LCM of Fractions 69/495,2518/4923 is 173742/9
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 4923
List of positive integer factors of 4923 that divides 4923 without a remainder.
1,3,9,547,1641,4923
Greatest Common Factor
We found the factors 495,4923 . The biggest common factor number is the GCF number.
So the greatest common factor 495,4923 is 9.
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 69/495, 2518/4923?
Answer: LCM of Numerators as per given numbers 69/495, 2518/4923 is
LCM of Numerators i.e. for 69,2518 is 173742
GCF of denominators i.e. for 495,4923 is 9.
Thus, LCM of Fractions is 173742/9.Finally, LCM of Fractions for 69/495, 2518/4923 is 173742/9.