Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 324/51, 506/7047 quickly i.e. 27324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 324/51, 506/7047 is 27324.
LCM(324/51, 506/7047) = 27324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 324/51,506/7047
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 324,506
Least Common Multiple of Numerators i.e. LCM of 324,506 is 81972.
GCF of Denominators means GCF of 51,7047 as per the given fractions.
GCF of 51,7047 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 324,506
2 | 324, 506 |
162, 253 |
∴ So the LCM of the given numbers is 2 x 162 x 253 = 81972
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 324,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,506) x common factors =2 x 1 = 2
LCM(324,506) = ( 324 × 506 ) / 2
LCM(324,506) = 163944 / 2
LCM(324,506) = 81972
Lets's calculate GCF of 51,7047
3 | 51, 7047 |
17, 2349 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81972/3
Therefore the LCM of Fractions 324/51,506/7047 is 27324
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 7047
List of positive integer factors of 7047 that divides 7047 without a remainder.
1,3,9,27,29,81,87,243,261,783,2349,7047
Greatest Common Factor
We found the factors 51,7047 . The biggest common factor number is the GCF number.
So the greatest common factor 51,7047 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 324/51, 506/7047?
Answer: LCM of Numerators as per given numbers 324/51, 506/7047 is
LCM of Numerators i.e. for 324,506 is 81972
GCF of denominators i.e. for 51,7047 is 3.
Thus, LCM of Fractions is 27324.Finally, LCM of Fractions for 324/51, 506/7047 is 27324.