Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/22, 324/8266 quickly i.e. 26406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/22, 324/8266 is 26406.
LCM(652/22, 324/8266) = 26406
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/22,324/8266
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 652,324
Least Common Multiple of Numerators i.e. LCM of 652,324 is 52812.
GCF of Denominators means GCF of 22,8266 as per the given fractions.
GCF of 22,8266 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,324
2 | 652, 324 |
2 | 326, 162 |
163, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 81 = 52812
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 652,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,324) x common factors =4 x 1 = 4
LCM(652,324) = ( 652 × 324 ) / 4
LCM(652,324) = 211248 / 4
LCM(652,324) = 52812
Lets's calculate GCF of 22,8266
2 | 22, 8266 |
11, 4133 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52812/2
Therefore the LCM of Fractions 652/22,324/8266 is 26406
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 8266
List of positive integer factors of 8266 that divides 8266 without a remainder.
1,2,4133,8266
Greatest Common Factor
We found the factors 22,8266 . The biggest common factor number is the GCF number.
So the greatest common factor 22,8266 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 652/22, 324/8266?
Answer: LCM of Numerators as per given numbers 652/22, 324/8266 is
LCM of Numerators i.e. for 652,324 is 52812
GCF of denominators i.e. for 22,8266 is 2.
Thus, LCM of Fractions is 26406.Finally, LCM of Fractions for 652/22, 324/8266 is 26406.