Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/256, 184/800, 350/774 quickly i.e. 48300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/256, 184/800, 350/774 is 48300.
LCM(75/256, 184/800, 350/774) = 48300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/256,184/800,350/774
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 75,184,350
Least Common Multiple of Numerators i.e. LCM of 75,184,350 is 96600.
GCF of Denominators means GCF of 256,800,774 as per the given fractions.
GCF of 256,800,774 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,184,350
2 | 75, 184, 350 |
5 | 75, 92, 175 |
5 | 15, 92, 35 |
3, 92, 7 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 3 x 92 x 7 = 96600
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 75,184,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,184,350) = 1
common factors(in case of two or more numbers have common factors) = 50
GCF(75,184,350) x common factors =1 x 50 = 50
LCM(75,184,350) = ( 75 × 184 × 350 ) / 50
LCM(75,184,350) = 4830000 / 50
LCM(75,184,350) = 96600
Lets's calculate GCF of 256,800,774
2 | 256, 800, 774 |
128, 400, 387 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96600/2
Therefore the LCM of Fractions 75/256,184/800,350/774 is 48300
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 256,800,774 . The biggest common factor number is the GCF number.
So the greatest common factor 256,800,774 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 75/256, 184/800, 350/774?
Answer: LCM of Numerators as per given numbers 75/256, 184/800, 350/774 is
LCM of Numerators i.e. for 75,184,350 is 96600
GCF of denominators i.e. for 256,800,774 is 2.
Thus, LCM of Fractions is 48300.Finally, LCM of Fractions for 75/256, 184/800, 350/774 is 48300.