Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/380, 23/864, 500/464 quickly i.e. 112125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/380, 23/864, 500/464 is 112125.
LCM(39/380, 23/864, 500/464) = 112125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/380,23/864,500/464
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 39,23,500
Least Common Multiple of Numerators i.e. LCM of 39,23,500 is 448500.
GCF of Denominators means GCF of 380,864,464 as per the given fractions.
GCF of 380,864,464 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,23,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 448500
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 39,23,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,23,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,23,500) x common factors =1 x 1 = 1
LCM(39,23,500) = ( 39 × 23 × 500 ) / 1
LCM(39,23,500) = 448500 / 1
LCM(39,23,500) = 448500
Lets's calculate GCF of 380,864,464
2 | 380, 864, 464 |
2 | 190, 432, 232 |
95, 216, 116 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448500/4
Therefore the LCM of Fractions 39/380,23/864,500/464 is 112125
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 380,864,464 . The biggest common factor number is the GCF number.
So the greatest common factor 380,864,464 is 4.
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 39/380, 23/864, 500/464?
Answer: LCM of Numerators as per given numbers 39/380, 23/864, 500/464 is
LCM of Numerators i.e. for 39,23,500 is 448500
GCF of denominators i.e. for 380,864,464 is 4.
Thus, LCM of Fractions is 112125.Finally, LCM of Fractions for 39/380, 23/864, 500/464 is 112125.