Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8096/621, 6164/972 quickly i.e. 542432/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8096/621, 6164/972 is 542432/27.
LCM(8096/621, 6164/972) = 542432/27
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8096/621,6164/972
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 8096,6164
Least Common Multiple of Numerators i.e. LCM of 8096,6164 is 542432.
GCF of Denominators means GCF of 621,972 as per the given fractions.
GCF of 621,972 is 27 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8096,6164
2 | 8096, 6164 |
2 | 4048, 3082 |
23 | 2024, 1541 |
88, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 88 x 67 = 542432
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 8096,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8096,6164) = 92
common factors(in case of two or more numbers have common factors) = 1
GCF(8096,6164) x common factors =92 x 1 = 92
LCM(8096,6164) = ( 8096 × 6164 ) / 92
LCM(8096,6164) = 49903744 / 92
LCM(8096,6164) = 542432
Lets's calculate GCF of 621,972
3 | 621, 972 |
3 | 207, 324 |
3 | 69, 108 |
23, 36 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 542432/27
Therefore the LCM of Fractions 8096/621,6164/972 is 542432/27
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 621,972 . The biggest common factor number is the GCF number.
So the greatest common factor 621,972 is 27.
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 8096/621, 6164/972?
Answer: LCM of Numerators as per given numbers 8096/621, 6164/972 is
LCM of Numerators i.e. for 8096,6164 is 542432
GCF of denominators i.e. for 621,972 is 27.
Thus, LCM of Fractions is 542432/27.Finally, LCM of Fractions for 8096/621, 6164/972 is 542432/27.