Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5169/494, 9973/9628 quickly i.e. 51550437/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5169/494, 9973/9628 is 51550437/2.
LCM(5169/494, 9973/9628) = 51550437/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5169/494,9973/9628
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 5169,9973
Least Common Multiple of Numerators i.e. LCM of 5169,9973 is 51550437.
GCF of Denominators means GCF of 494,9628 as per the given fractions.
GCF of 494,9628 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5169,9973
Given numbers has no common factors except 1. So, there LCM is their product i.e 51550437
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 5169,9973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5169,9973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5169,9973) x common factors =1 x 1 = 1
LCM(5169,9973) = ( 5169 × 9973 ) / 1
LCM(5169,9973) = 51550437 / 1
LCM(5169,9973) = 51550437
Lets's calculate GCF of 494,9628
2 | 494, 9628 |
247, 4814 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51550437/2
Therefore the LCM of Fractions 5169/494,9973/9628 is 51550437/2
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 9628
List of positive integer factors of 9628 that divides 9628 without a remainder.
1,2,4,29,58,83,116,166,332,2407,4814,9628
Greatest Common Factor
We found the factors 494,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 494,9628 is 2.
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 5169/494, 9973/9628?
Answer: LCM of Numerators as per given numbers 5169/494, 9973/9628 is
LCM of Numerators i.e. for 5169,9973 is 51550437
GCF of denominators i.e. for 494,9628 is 2.
Thus, LCM of Fractions is 51550437/2.Finally, LCM of Fractions for 5169/494, 9973/9628 is 51550437/2.