Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/929, 920/212, 455/881 quickly i.e. 83720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/929, 920/212, 455/881 is 83720.
LCM(23/929, 920/212, 455/881) = 83720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/929,920/212,455/881
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 23,920,455
Least Common Multiple of Numerators i.e. LCM of 23,920,455 is 83720.
GCF of Denominators means GCF of 929,212,881 as per the given fractions.
GCF of 929,212,881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,920,455
5 | 23, 920, 455 |
23 | 23, 184, 91 |
1, 8, 91 |
∴ So the LCM of the given numbers is 5 x 23 x 1 x 8 x 91 = 83720
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 23,920,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,920,455) = 1
common factors(in case of two or more numbers have common factors) = 115
GCF(23,920,455) x common factors =1 x 115 = 115
LCM(23,920,455) = ( 23 × 920 × 455 ) / 115
LCM(23,920,455) = 9627800 / 115
LCM(23,920,455) = 83720
Lets's calculate GCF of 929,212,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83720/1
Therefore the LCM of Fractions 23/929,920/212,455/881 is 83720
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 929,212,881 . The biggest common factor number is the GCF number.
So the greatest common factor 929,212,881 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 23/929, 920/212, 455/881?
Answer: LCM of Numerators as per given numbers 23/929, 920/212, 455/881 is
LCM of Numerators i.e. for 23,920,455 is 83720
GCF of denominators i.e. for 929,212,881 is 1.
Thus, LCM of Fractions is 83720.Finally, LCM of Fractions for 23/929, 920/212, 455/881 is 83720.