Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/28, 48/56, 64/89, 72/79 quickly i.e. 31680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/28, 48/56, 64/89, 72/79 is 31680.
LCM(55/28, 48/56, 64/89, 72/79) = 31680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/28,48/56,64/89,72/79
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 55,48,64,72
Least Common Multiple of Numerators i.e. LCM of 55,48,64,72 is 31680.
GCF of Denominators means GCF of 28,56,89,79 as per the given fractions.
GCF of 28,56,89,79 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,48,64,72
2 | 55, 48, 64, 72 |
2 | 55, 24, 32, 36 |
2 | 55, 12, 16, 18 |
2 | 55, 6, 8, 9 |
3 | 55, 3, 4, 9 |
55, 1, 4, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 55 x 1 x 4 x 3 = 31680
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 55,48,64,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,48,64,72) = 1
common factors(in case of two or more numbers have common factors) = 384
GCF(55,48,64,72) x common factors =1 x 384 = 384
LCM(55,48,64,72) = ( 55 × 48 × 64 × 72 ) / 384
LCM(55,48,64,72) = 12165120 / 384
LCM(55,48,64,72) = 31680
Lets's calculate GCF of 28,56,89,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31680/1
Therefore the LCM of Fractions 55/28,48/56,64/89,72/79 is 31680
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
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 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 28,56,89,79 . The biggest common factor number is the GCF number.
So the greatest common factor 28,56,89,79 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 55/28, 48/56, 64/89, 72/79?
Answer: LCM of Numerators as per given numbers 55/28, 48/56, 64/89, 72/79 is
LCM of Numerators i.e. for 55,48,64,72 is 31680
GCF of denominators i.e. for 28,56,89,79 is 1.
Thus, LCM of Fractions is 31680.Finally, LCM of Fractions for 55/28, 48/56, 64/89, 72/79 is 31680.