Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 706/855, 7596/414 quickly i.e. 297932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 706/855, 7596/414 is 297932.
LCM(706/855, 7596/414) = 297932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 706/855,7596/414
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 706,7596
Least Common Multiple of Numerators i.e. LCM of 706,7596 is 2681388.
GCF of Denominators means GCF of 855,414 as per the given fractions.
GCF of 855,414 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 706,7596
2 | 706, 7596 |
353, 3798 |
∴ So the LCM of the given numbers is 2 x 353 x 3798 = 2681388
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 706,7596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,7596) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,7596) x common factors =2 x 1 = 2
LCM(706,7596) = ( 706 × 7596 ) / 2
LCM(706,7596) = 5362776 / 2
LCM(706,7596) = 2681388
Lets's calculate GCF of 855,414
3 | 855, 414 |
3 | 285, 138 |
95, 46 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2681388/9
Therefore the LCM of Fractions 706/855,7596/414 is 297932
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 855,414 . The biggest common factor number is the GCF number.
So the greatest common factor 855,414 is 9.
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 706/855, 7596/414?
Answer: LCM of Numerators as per given numbers 706/855, 7596/414 is
LCM of Numerators i.e. for 706,7596 is 2681388
GCF of denominators i.e. for 855,414 is 9.
Thus, LCM of Fractions is 297932.Finally, LCM of Fractions for 706/855, 7596/414 is 297932.