Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9720/654, 5238/266 quickly i.e. 471420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9720/654, 5238/266 is 471420.
LCM(9720/654, 5238/266) = 471420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9720/654,5238/266
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 9720,5238
Least Common Multiple of Numerators i.e. LCM of 9720,5238 is 942840.
GCF of Denominators means GCF of 654,266 as per the given fractions.
GCF of 654,266 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9720,5238
2 | 9720, 5238 |
3 | 4860, 2619 |
3 | 1620, 873 |
3 | 540, 291 |
180, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 180 x 97 = 942840
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 9720,5238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9720,5238) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(9720,5238) x common factors =54 x 1 = 54
LCM(9720,5238) = ( 9720 × 5238 ) / 54
LCM(9720,5238) = 50913360 / 54
LCM(9720,5238) = 942840
Lets's calculate GCF of 654,266
2 | 654, 266 |
327, 133 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 942840/2
Therefore the LCM of Fractions 9720/654,5238/266 is 471420
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 654,266 . The biggest common factor number is the GCF number.
So the greatest common factor 654,266 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 9720/654, 5238/266?
Answer: LCM of Numerators as per given numbers 9720/654, 5238/266 is
LCM of Numerators i.e. for 9720,5238 is 942840
GCF of denominators i.e. for 654,266 is 2.
Thus, LCM of Fractions is 471420.Finally, LCM of Fractions for 9720/654, 5238/266 is 471420.