Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/228, 56/384, 524/195 quickly i.e. 271432/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/228, 56/384, 524/195 is 271432/3.
LCM(74/228, 56/384, 524/195) = 271432/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/228,56/384,524/195
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 74,56,524
Least Common Multiple of Numerators i.e. LCM of 74,56,524 is 271432.
GCF of Denominators means GCF of 228,384,195 as per the given fractions.
GCF of 228,384,195 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,56,524
2 | 74, 56, 524 |
2 | 37, 28, 262 |
37, 14, 131 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 14 x 131 = 271432
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 74,56,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,56,524) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(74,56,524) x common factors =2 x 4 = 8
LCM(74,56,524) = ( 74 × 56 × 524 ) / 8
LCM(74,56,524) = 2171456 / 8
LCM(74,56,524) = 271432
Lets's calculate GCF of 228,384,195
3 | 228, 384, 195 |
76, 128, 65 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271432/3
Therefore the LCM of Fractions 74/228,56/384,524/195 is 271432/3
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 228,384,195 . The biggest common factor number is the GCF number.
So the greatest common factor 228,384,195 is 3.
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 74/228, 56/384, 524/195?
Answer: LCM of Numerators as per given numbers 74/228, 56/384, 524/195 is
LCM of Numerators i.e. for 74,56,524 is 271432
GCF of denominators i.e. for 228,384,195 is 3.
Thus, LCM of Fractions is 271432/3.Finally, LCM of Fractions for 74/228, 56/384, 524/195 is 271432/3.