Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9684/36, 5126/681 quickly i.e. 8273364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9684/36, 5126/681 is 8273364.
LCM(9684/36, 5126/681) = 8273364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9684/36,5126/681
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 9684,5126
Least Common Multiple of Numerators i.e. LCM of 9684,5126 is 24820092.
GCF of Denominators means GCF of 36,681 as per the given fractions.
GCF of 36,681 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9684,5126
2 | 9684, 5126 |
4842, 2563 |
∴ So the LCM of the given numbers is 2 x 4842 x 2563 = 24820092
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 9684,5126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9684,5126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9684,5126) x common factors =2 x 1 = 2
LCM(9684,5126) = ( 9684 × 5126 ) / 2
LCM(9684,5126) = 49640184 / 2
LCM(9684,5126) = 24820092
Lets's calculate GCF of 36,681
3 | 36, 681 |
12, 227 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24820092/3
Therefore the LCM of Fractions 9684/36,5126/681 is 8273364
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 36,681 . The biggest common factor number is the GCF number.
So the greatest common factor 36,681 is 3.
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 9684/36, 5126/681?
Answer: LCM of Numerators as per given numbers 9684/36, 5126/681 is
LCM of Numerators i.e. for 9684,5126 is 24820092
GCF of denominators i.e. for 36,681 is 3.
Thus, LCM of Fractions is 8273364.Finally, LCM of Fractions for 9684/36, 5126/681 is 8273364.