Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/256, 124/348, 215/864 quickly i.e. 353245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/256, 124/348, 215/864 is 353245.
LCM(53/256, 124/348, 215/864) = 353245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/256,124/348,215/864
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 53,124,215
Least Common Multiple of Numerators i.e. LCM of 53,124,215 is 1412980.
GCF of Denominators means GCF of 256,348,864 as per the given fractions.
GCF of 256,348,864 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,124,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412980
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 53,124,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,124,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,124,215) x common factors =1 x 1 = 1
LCM(53,124,215) = ( 53 × 124 × 215 ) / 1
LCM(53,124,215) = 1412980 / 1
LCM(53,124,215) = 1412980
Lets's calculate GCF of 256,348,864
2 | 256, 348, 864 |
2 | 128, 174, 432 |
64, 87, 216 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412980/4
Therefore the LCM of Fractions 53/256,124/348,215/864 is 353245
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 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
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
Greatest Common Factor
We found the factors 256,348,864 . The biggest common factor number is the GCF number.
So the greatest common factor 256,348,864 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 53/256, 124/348, 215/864?
Answer: LCM of Numerators as per given numbers 53/256, 124/348, 215/864 is
LCM of Numerators i.e. for 53,124,215 is 1412980
GCF of denominators i.e. for 256,348,864 is 4.
Thus, LCM of Fractions is 353245.Finally, LCM of Fractions for 53/256, 124/348, 215/864 is 353245.