Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/87, 45/376, 112/160 quickly i.e. 115920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/87, 45/376, 112/160 is 115920.
LCM(23/87, 45/376, 112/160) = 115920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/87,45/376,112/160
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 23,45,112
Least Common Multiple of Numerators i.e. LCM of 23,45,112 is 115920.
GCF of Denominators means GCF of 87,376,160 as per the given fractions.
GCF of 87,376,160 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,45,112
Given numbers has no common factors except 1. So, there LCM is their product i.e 115920
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 23,45,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,45,112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,45,112) x common factors =1 x 1 = 1
LCM(23,45,112) = ( 23 × 45 × 112 ) / 1
LCM(23,45,112) = 115920 / 1
LCM(23,45,112) = 115920
Lets's calculate GCF of 87,376,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115920/1
Therefore the LCM of Fractions 23/87,45/376,112/160 is 115920
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 87,376,160 . The biggest common factor number is the GCF number.
So the greatest common factor 87,376,160 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 23/87, 45/376, 112/160?
Answer: LCM of Numerators as per given numbers 23/87, 45/376, 112/160 is
LCM of Numerators i.e. for 23,45,112 is 115920
GCF of denominators i.e. for 87,376,160 is 1.
Thus, LCM of Fractions is 115920.Finally, LCM of Fractions for 23/87, 45/376, 112/160 is 115920.