Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/707, 59/960, 66/803 quickly i.e. 15576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/707, 59/960, 66/803 is 15576.
LCM(8/707, 59/960, 66/803) = 15576
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/707,59/960,66/803
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 8,59,66
Least Common Multiple of Numerators i.e. LCM of 8,59,66 is 15576.
GCF of Denominators means GCF of 707,960,803 as per the given fractions.
GCF of 707,960,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,59,66
2 | 8, 59, 66 |
4, 59, 33 |
∴ So the LCM of the given numbers is 2 x 4 x 59 x 33 = 15576
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 8,59,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,59,66) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,59,66) x common factors =1 x 2 = 2
LCM(8,59,66) = ( 8 × 59 × 66 ) / 2
LCM(8,59,66) = 31152 / 2
LCM(8,59,66) = 15576
Lets's calculate GCF of 707,960,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15576/1
Therefore the LCM of Fractions 8/707,59/960,66/803 is 15576
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 707,960,803 . The biggest common factor number is the GCF number.
So the greatest common factor 707,960,803 is 1.
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 8/707, 59/960, 66/803?
Answer: LCM of Numerators as per given numbers 8/707, 59/960, 66/803 is
LCM of Numerators i.e. for 8,59,66 is 15576
GCF of denominators i.e. for 707,960,803 is 1.
Thus, LCM of Fractions is 15576.Finally, LCM of Fractions for 8/707, 59/960, 66/803 is 15576.