Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/19, 55/56, 99/88, 28/440 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/19, 55/56, 99/88, 28/440 is 13860.
LCM(63/19, 55/56, 99/88, 28/440) = 13860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/19,55/56,99/88,28/440
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 63,55,99,28
Least Common Multiple of Numerators i.e. LCM of 63,55,99,28 is 13860.
GCF of Denominators means GCF of 19,56,88,440 as per the given fractions.
GCF of 19,56,88,440 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,55,99,28
3 | 63, 55, 99, 28 |
3 | 21, 55, 33, 28 |
7 | 7, 55, 11, 28 |
11 | 1, 55, 11, 4 |
1, 5, 1, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 11 x 1 x 5 x 1 x 4 = 13860
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 63,55,99,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,55,99,28) = 1
common factors(in case of two or more numbers have common factors) = 693
GCF(63,55,99,28) x common factors =1 x 693 = 693
LCM(63,55,99,28) = ( 63 × 55 × 99 × 28 ) / 693
LCM(63,55,99,28) = 9604980 / 693
LCM(63,55,99,28) = 13860
Lets's calculate GCF of 19,56,88,440
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/1
Therefore the LCM of Fractions 63/19,55/56,99/88,28/440 is 13860
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 19,56,88,440 . The biggest common factor number is the GCF number.
So the greatest common factor 19,56,88,440 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 63/19, 55/56, 99/88, 28/440?
Answer: LCM of Numerators as per given numbers 63/19, 55/56, 99/88, 28/440 is
LCM of Numerators i.e. for 63,55,99,28 is 13860
GCF of denominators i.e. for 19,56,88,440 is 1.
Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 63/19, 55/56, 99/88, 28/440 is 13860.