Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7200/100, 9184/8156 quickly i.e. 516600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7200/100, 9184/8156 is 516600.
LCM(7200/100, 9184/8156) = 516600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7200/100,9184/8156
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 7200,9184
Least Common Multiple of Numerators i.e. LCM of 7200,9184 is 2066400.
GCF of Denominators means GCF of 100,8156 as per the given fractions.
GCF of 100,8156 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7200,9184
2 | 7200, 9184 |
2 | 3600, 4592 |
2 | 1800, 2296 |
2 | 900, 1148 |
2 | 450, 574 |
225, 287 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 225 x 287 = 2066400
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 7200,9184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7200,9184) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(7200,9184) x common factors =32 x 1 = 32
LCM(7200,9184) = ( 7200 × 9184 ) / 32
LCM(7200,9184) = 66124800 / 32
LCM(7200,9184) = 2066400
Lets's calculate GCF of 100,8156
2 | 100, 8156 |
2 | 50, 4078 |
25, 2039 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2066400/4
Therefore the LCM of Fractions 7200/100,9184/8156 is 516600
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 8156
List of positive integer factors of 8156 that divides 8156 without a remainder.
1,2,4,2039,4078,8156
Greatest Common Factor
We found the factors 100,8156 . The biggest common factor number is the GCF number.
So the greatest common factor 100,8156 is 4.
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 7200/100, 9184/8156?
Answer: LCM of Numerators as per given numbers 7200/100, 9184/8156 is
LCM of Numerators i.e. for 7200,9184 is 2066400
GCF of denominators i.e. for 100,8156 is 4.
Thus, LCM of Fractions is 516600.Finally, LCM of Fractions for 7200/100, 9184/8156 is 516600.