Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/158, 20/677, 135/960 quickly i.e. 12420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/158, 20/677, 135/960 is 12420.
LCM(23/158, 20/677, 135/960) = 12420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/158,20/677,135/960
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 23,20,135
Least Common Multiple of Numerators i.e. LCM of 23,20,135 is 12420.
GCF of Denominators means GCF of 158,677,960 as per the given fractions.
GCF of 158,677,960 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,20,135
5 | 23, 20, 135 |
23, 4, 27 |
∴ So the LCM of the given numbers is 5 x 23 x 4 x 27 = 12420
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 23,20,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,20,135) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(23,20,135) x common factors =1 x 5 = 5
LCM(23,20,135) = ( 23 × 20 × 135 ) / 5
LCM(23,20,135) = 62100 / 5
LCM(23,20,135) = 12420
Lets's calculate GCF of 158,677,960
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12420/1
Therefore the LCM of Fractions 23/158,20/677,135/960 is 12420
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 158,677,960 . The biggest common factor number is the GCF number.
So the greatest common factor 158,677,960 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 23/158, 20/677, 135/960?
Answer: LCM of Numerators as per given numbers 23/158, 20/677, 135/960 is
LCM of Numerators i.e. for 23,20,135 is 12420
GCF of denominators i.e. for 158,677,960 is 1.
Thus, LCM of Fractions is 12420.Finally, LCM of Fractions for 23/158, 20/677, 135/960 is 12420.