Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 799/92, 520/46, 389/80 quickly i.e. 80810860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 799/92, 520/46, 389/80 is 80810860.
LCM(799/92, 520/46, 389/80) = 80810860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 799/92,520/46,389/80
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 799,520,389
Least Common Multiple of Numerators i.e. LCM of 799,520,389 is 161621720.
GCF of Denominators means GCF of 92,46,80 as per the given fractions.
GCF of 92,46,80 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 799,520,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 161621720
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 799,520,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,520,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,520,389) x common factors =1 x 1 = 1
LCM(799,520,389) = ( 799 × 520 × 389 ) / 1
LCM(799,520,389) = 161621720 / 1
LCM(799,520,389) = 161621720
Lets's calculate GCF of 92,46,80
2 | 92, 46, 80 |
46, 23, 40 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161621720/2
Therefore the LCM of Fractions 799/92,520/46,389/80 is 80810860
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Greatest Common Factor
We found the factors 92,46,80 . The biggest common factor number is the GCF number.
So the greatest common factor 92,46,80 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 799/92, 520/46, 389/80?
Answer: LCM of Numerators as per given numbers 799/92, 520/46, 389/80 is
LCM of Numerators i.e. for 799,520,389 is 161621720
GCF of denominators i.e. for 92,46,80 is 2.
Thus, LCM of Fractions is 80810860.Finally, LCM of Fractions for 799/92, 520/46, 389/80 is 80810860.