Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 320/87, 769/46, 446/793 quickly i.e. 54875840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 320/87, 769/46, 446/793 is 54875840.
LCM(320/87, 769/46, 446/793) = 54875840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 320/87,769/46,446/793
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 320,769,446
Least Common Multiple of Numerators i.e. LCM of 320,769,446 is 54875840.
GCF of Denominators means GCF of 87,46,793 as per the given fractions.
GCF of 87,46,793 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 320,769,446
2 | 320, 769, 446 |
160, 769, 223 |
∴ So the LCM of the given numbers is 2 x 160 x 769 x 223 = 54875840
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 320,769,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,769,446) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(320,769,446) x common factors =1 x 2 = 2
LCM(320,769,446) = ( 320 × 769 × 446 ) / 2
LCM(320,769,446) = 109751680 / 2
LCM(320,769,446) = 54875840
Lets's calculate GCF of 87,46,793
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54875840/1
Therefore the LCM of Fractions 320/87,769/46,446/793 is 54875840
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Greatest Common Factor
We found the factors 87,46,793 . The biggest common factor number is the GCF number.
So the greatest common factor 87,46,793 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 320/87, 769/46, 446/793?
Answer: LCM of Numerators as per given numbers 320/87, 769/46, 446/793 is
LCM of Numerators i.e. for 320,769,446 is 54875840
GCF of denominators i.e. for 87,46,793 is 1.
Thus, LCM of Fractions is 54875840.Finally, LCM of Fractions for 320/87, 769/46, 446/793 is 54875840.