Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/134, 64/403, 89/957 quickly i.e. 28480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/134, 64/403, 89/957 is 28480.
LCM(5/134, 64/403, 89/957) = 28480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/134,64/403,89/957
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 5,64,89
Least Common Multiple of Numerators i.e. LCM of 5,64,89 is 28480.
GCF of Denominators means GCF of 134,403,957 as per the given fractions.
GCF of 134,403,957 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,64,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 28480
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 5,64,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,64,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,64,89) x common factors =1 x 1 = 1
LCM(5,64,89) = ( 5 × 64 × 89 ) / 1
LCM(5,64,89) = 28480 / 1
LCM(5,64,89) = 28480
Lets's calculate GCF of 134,403,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28480/1
Therefore the LCM of Fractions 5/134,64/403,89/957 is 28480
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 134,403,957 . The biggest common factor number is the GCF number.
So the greatest common factor 134,403,957 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 5/134, 64/403, 89/957?
Answer: LCM of Numerators as per given numbers 5/134, 64/403, 89/957 is
LCM of Numerators i.e. for 5,64,89 is 28480
GCF of denominators i.e. for 134,403,957 is 1.
Thus, LCM of Fractions is 28480.Finally, LCM of Fractions for 5/134, 64/403, 89/957 is 28480.