Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/63, 40/77, 44/256 quickly i.e. 440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/63, 40/77, 44/256 is 440.
LCM(44/63, 40/77, 44/256) = 440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/63,40/77,44/256
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 44,40,44
Least Common Multiple of Numerators i.e. LCM of 44,40,44 is 440.
GCF of Denominators means GCF of 63,77,256 as per the given fractions.
GCF of 63,77,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,40,44
2 | 44, 40, 44 |
2 | 22, 20, 22 |
11 | 11, 10, 11 |
1, 10, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 10 x 1 = 440
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 44,40,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,40,44) = 4
common factors(in case of two or more numbers have common factors) = 44
GCF(44,40,44) x common factors =4 x 44 = 176
LCM(44,40,44) = ( 44 × 40 × 44 ) / 176
LCM(44,40,44) = 77440 / 176
LCM(44,40,44) = 440
Lets's calculate GCF of 63,77,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440/1
Therefore the LCM of Fractions 44/63,40/77,44/256 is 440
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
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
Greatest Common Factor
We found the factors 63,77,256 . The biggest common factor number is the GCF number.
So the greatest common factor 63,77,256 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 44/63, 40/77, 44/256?
Answer: LCM of Numerators as per given numbers 44/63, 40/77, 44/256 is
LCM of Numerators i.e. for 44,40,44 is 440
GCF of denominators i.e. for 63,77,256 is 1.
Thus, LCM of Fractions is 440.Finally, LCM of Fractions for 44/63, 40/77, 44/256 is 440.