Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 256/45, 112/2472 quickly i.e. 1792/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 256/45, 112/2472 is 1792/3.
LCM(256/45, 112/2472) = 1792/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 256/45,112/2472
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 256,112
Least Common Multiple of Numerators i.e. LCM of 256,112 is 1792.
GCF of Denominators means GCF of 45,2472 as per the given fractions.
GCF of 45,2472 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 256,112
2 | 256, 112 |
2 | 128, 56 |
2 | 64, 28 |
2 | 32, 14 |
16, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 16 x 7 = 1792
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 256,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,112) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(256,112) x common factors =16 x 1 = 16
LCM(256,112) = ( 256 × 112 ) / 16
LCM(256,112) = 28672 / 16
LCM(256,112) = 1792
Lets's calculate GCF of 45,2472
3 | 45, 2472 |
15, 824 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1792/3
Therefore the LCM of Fractions 256/45,112/2472 is 1792/3
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 2472
List of positive integer factors of 2472 that divides 2472 without a remainder.
1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472
Greatest Common Factor
We found the factors 45,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2472 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 256/45, 112/2472?
Answer: LCM of Numerators as per given numbers 256/45, 112/2472 is
LCM of Numerators i.e. for 256,112 is 1792
GCF of denominators i.e. for 45,2472 is 3.
Thus, LCM of Fractions is 1792/3.Finally, LCM of Fractions for 256/45, 112/2472 is 1792/3.