Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/571, 32/462, 256/902 quickly i.e. 12544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/571, 32/462, 256/902 is 12544.
LCM(49/571, 32/462, 256/902) = 12544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/571,32/462,256/902
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 49,32,256
Least Common Multiple of Numerators i.e. LCM of 49,32,256 is 12544.
GCF of Denominators means GCF of 571,462,902 as per the given fractions.
GCF of 571,462,902 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,32,256
2 | 49, 32, 256 |
2 | 49, 16, 128 |
2 | 49, 8, 64 |
2 | 49, 4, 32 |
2 | 49, 2, 16 |
49, 1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 49 x 1 x 8 = 12544
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 49,32,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,32,256) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(49,32,256) x common factors =1 x 32 = 32
LCM(49,32,256) = ( 49 × 32 × 256 ) / 32
LCM(49,32,256) = 401408 / 32
LCM(49,32,256) = 12544
Lets's calculate GCF of 571,462,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12544/1
Therefore the LCM of Fractions 49/571,32/462,256/902 is 12544
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 571,462,902 . The biggest common factor number is the GCF number.
So the greatest common factor 571,462,902 is 1.
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 49/571, 32/462, 256/902?
Answer: LCM of Numerators as per given numbers 49/571, 32/462, 256/902 is
LCM of Numerators i.e. for 49,32,256 is 12544
GCF of denominators i.e. for 571,462,902 is 1.
Thus, LCM of Fractions is 12544.Finally, LCM of Fractions for 49/571, 32/462, 256/902 is 12544.