Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/823, 467/709, 555/803 quickly i.e. 2073480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/823, 467/709, 555/803 is 2073480.
LCM(24/823, 467/709, 555/803) = 2073480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/823,467/709,555/803
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 24,467,555
Least Common Multiple of Numerators i.e. LCM of 24,467,555 is 2073480.
GCF of Denominators means GCF of 823,709,803 as per the given fractions.
GCF of 823,709,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,467,555
3 | 24, 467, 555 |
8, 467, 185 |
∴ So the LCM of the given numbers is 3 x 8 x 467 x 185 = 2073480
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 24,467,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,467,555) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(24,467,555) x common factors =1 x 3 = 3
LCM(24,467,555) = ( 24 × 467 × 555 ) / 3
LCM(24,467,555) = 6220440 / 3
LCM(24,467,555) = 2073480
Lets's calculate GCF of 823,709,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2073480/1
Therefore the LCM of Fractions 24/823,467/709,555/803 is 2073480
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
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 823,709,803 . The biggest common factor number is the GCF number.
So the greatest common factor 823,709,803 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 24/823, 467/709, 555/803?
Answer: LCM of Numerators as per given numbers 24/823, 467/709, 555/803 is
LCM of Numerators i.e. for 24,467,555 is 2073480
GCF of denominators i.e. for 823,709,803 is 1.
Thus, LCM of Fractions is 2073480.Finally, LCM of Fractions for 24/823, 467/709, 555/803 is 2073480.