Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/93, 54/55, 88/47, 55/556 quickly i.e. 11880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/93, 54/55, 88/47, 55/556 is 11880.
LCM(55/93, 54/55, 88/47, 55/556) = 11880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/93,54/55,88/47,55/556
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 55,54,88,55
Least Common Multiple of Numerators i.e. LCM of 55,54,88,55 is 11880.
GCF of Denominators means GCF of 93,55,47,556 as per the given fractions.
GCF of 93,55,47,556 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,54,88,55
2 | 55, 54, 88, 55 |
5 | 55, 27, 44, 55 |
11 | 11, 27, 44, 11 |
1, 27, 4, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 27 x 4 x 1 = 11880
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 55,54,88,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,54,88,55) = 1
common factors(in case of two or more numbers have common factors) = 1210
GCF(55,54,88,55) x common factors =1 x 1210 = 1210
LCM(55,54,88,55) = ( 55 × 54 × 88 × 55 ) / 1210
LCM(55,54,88,55) = 14374800 / 1210
LCM(55,54,88,55) = 11880
Lets's calculate GCF of 93,55,47,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11880/1
Therefore the LCM of Fractions 55/93,54/55,88/47,55/556 is 11880
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 93,55,47,556 . The biggest common factor number is the GCF number.
So the greatest common factor 93,55,47,556 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 55/93, 54/55, 88/47, 55/556?
Answer: LCM of Numerators as per given numbers 55/93, 54/55, 88/47, 55/556 is
LCM of Numerators i.e. for 55,54,88,55 is 11880
GCF of denominators i.e. for 93,55,47,556 is 1.
Thus, LCM of Fractions is 11880.Finally, LCM of Fractions for 55/93, 54/55, 88/47, 55/556 is 11880.