Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/43, 1/43, 43/89, 34/948 quickly i.e. 7310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/43, 1/43, 43/89, 34/948 is 7310.
LCM(5/43, 1/43, 43/89, 34/948) = 7310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/43,1/43,43/89,34/948
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 5,1,43,34
Least Common Multiple of Numerators i.e. LCM of 5,1,43,34 is 7310.
GCF of Denominators means GCF of 43,43,89,948 as per the given fractions.
GCF of 43,43,89,948 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,1,43,34
Given numbers has no common factors except 1. So, there LCM is their product i.e 7310
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 5,1,43,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,1,43,34) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,1,43,34) x common factors =1 x 1 = 1
LCM(5,1,43,34) = ( 5 × 1 × 43 × 34 ) / 1
LCM(5,1,43,34) = 7310 / 1
LCM(5,1,43,34) = 7310
Lets's calculate GCF of 43,43,89,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7310/1
Therefore the LCM of Fractions 5/43,1/43,43/89,34/948 is 7310
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 43,43,89,948 . The biggest common factor number is the GCF number.
So the greatest common factor 43,43,89,948 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 5/43, 1/43, 43/89, 34/948?
Answer: LCM of Numerators as per given numbers 5/43, 1/43, 43/89, 34/948 is
LCM of Numerators i.e. for 5,1,43,34 is 7310
GCF of denominators i.e. for 43,43,89,948 is 1.
Thus, LCM of Fractions is 7310.Finally, LCM of Fractions for 5/43, 1/43, 43/89, 34/948 is 7310.