Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 256/516, 233/376, 158/864 quickly i.e. 1178048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 256/516, 233/376, 158/864 is 1178048.
LCM(256/516, 233/376, 158/864) = 1178048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 256/516,233/376,158/864
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 256,233,158
Least Common Multiple of Numerators i.e. LCM of 256,233,158 is 4712192.
GCF of Denominators means GCF of 516,376,864 as per the given fractions.
GCF of 516,376,864 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 256,233,158
2 | 256, 233, 158 |
128, 233, 79 |
∴ So the LCM of the given numbers is 2 x 128 x 233 x 79 = 4712192
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 256,233,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,233,158) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(256,233,158) x common factors =1 x 2 = 2
LCM(256,233,158) = ( 256 × 233 × 158 ) / 2
LCM(256,233,158) = 9424384 / 2
LCM(256,233,158) = 4712192
Lets's calculate GCF of 516,376,864
2 | 516, 376, 864 |
2 | 258, 188, 432 |
129, 94, 216 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4712192/4
Therefore the LCM of Fractions 256/516,233/376,158/864 is 1178048
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
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 516,376,864 . The biggest common factor number is the GCF number.
So the greatest common factor 516,376,864 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 256/516, 233/376, 158/864?
Answer: LCM of Numerators as per given numbers 256/516, 233/376, 158/864 is
LCM of Numerators i.e. for 256,233,158 is 4712192
GCF of denominators i.e. for 516,376,864 is 4.
Thus, LCM of Fractions is 1178048.Finally, LCM of Fractions for 256/516, 233/376, 158/864 is 1178048.