Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 501/908, 5288/9814 quickly i.e. 1324644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 501/908, 5288/9814 is 1324644.
LCM(501/908, 5288/9814) = 1324644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 501/908,5288/9814
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 501,5288
Least Common Multiple of Numerators i.e. LCM of 501,5288 is 2649288.
GCF of Denominators means GCF of 908,9814 as per the given fractions.
GCF of 908,9814 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 501,5288
Given numbers has no common factors except 1. So, there LCM is their product i.e 2649288
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 501,5288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,5288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,5288) x common factors =1 x 1 = 1
LCM(501,5288) = ( 501 × 5288 ) / 1
LCM(501,5288) = 2649288 / 1
LCM(501,5288) = 2649288
Lets's calculate GCF of 908,9814
2 | 908, 9814 |
454, 4907 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2649288/2
Therefore the LCM of Fractions 501/908,5288/9814 is 1324644
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 9814
List of positive integer factors of 9814 that divides 9814 without a remainder.
1,2,7,14,701,1402,4907,9814
Greatest Common Factor
We found the factors 908,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 908,9814 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 501/908, 5288/9814?
Answer: LCM of Numerators as per given numbers 501/908, 5288/9814 is
LCM of Numerators i.e. for 501,5288 is 2649288
GCF of denominators i.e. for 908,9814 is 2.
Thus, LCM of Fractions is 1324644.Finally, LCM of Fractions for 501/908, 5288/9814 is 1324644.