Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/40, 43/56, 89/76, 54/645 quickly i.e. 11366190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/40, 43/56, 89/76, 54/645 is 11366190.
LCM(55/40, 43/56, 89/76, 54/645) = 11366190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/40,43/56,89/76,54/645
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 55,43,89,54
Least Common Multiple of Numerators i.e. LCM of 55,43,89,54 is 11366190.
GCF of Denominators means GCF of 40,56,76,645 as per the given fractions.
GCF of 40,56,76,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,43,89,54
Given numbers has no common factors except 1. So, there LCM is their product i.e 11366190
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 55,43,89,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,43,89,54) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,43,89,54) x common factors =1 x 1 = 1
LCM(55,43,89,54) = ( 55 × 43 × 89 × 54 ) / 1
LCM(55,43,89,54) = 11366190 / 1
LCM(55,43,89,54) = 11366190
Lets's calculate GCF of 40,56,76,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11366190/1
Therefore the LCM of Fractions 55/40,43/56,89/76,54/645 is 11366190
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 40,56,76,645 . The biggest common factor number is the GCF number.
So the greatest common factor 40,56,76,645 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 55/40, 43/56, 89/76, 54/645?
Answer: LCM of Numerators as per given numbers 55/40, 43/56, 89/76, 54/645 is
LCM of Numerators i.e. for 55,43,89,54 is 11366190
GCF of denominators i.e. for 40,56,76,645 is 1.
Thus, LCM of Fractions is 11366190.Finally, LCM of Fractions for 55/40, 43/56, 89/76, 54/645 is 11366190.