Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8936/506, 5470/5561 quickly i.e. 24439960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8936/506, 5470/5561 is 24439960.
LCM(8936/506, 5470/5561) = 24439960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8936/506,5470/5561
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 8936,5470
Least Common Multiple of Numerators i.e. LCM of 8936,5470 is 24439960.
GCF of Denominators means GCF of 506,5561 as per the given fractions.
GCF of 506,5561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8936,5470
2 | 8936, 5470 |
4468, 2735 |
∴ So the LCM of the given numbers is 2 x 4468 x 2735 = 24439960
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 8936,5470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8936,5470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8936,5470) x common factors =2 x 1 = 2
LCM(8936,5470) = ( 8936 × 5470 ) / 2
LCM(8936,5470) = 48879920 / 2
LCM(8936,5470) = 24439960
Lets's calculate GCF of 506,5561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24439960/1
Therefore the LCM of Fractions 8936/506,5470/5561 is 24439960
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 5561
List of positive integer factors of 5561 that divides 5561 without a remainder.
1,67,83,5561
Greatest Common Factor
We found the factors 506,5561 . The biggest common factor number is the GCF number.
So the greatest common factor 506,5561 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 8936/506, 5470/5561?
Answer: LCM of Numerators as per given numbers 8936/506, 5470/5561 is
LCM of Numerators i.e. for 8936,5470 is 24439960
GCF of denominators i.e. for 506,5561 is 1.
Thus, LCM of Fractions is 24439960.Finally, LCM of Fractions for 8936/506, 5470/5561 is 24439960.