Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/23, 673/63, 887/918 quickly i.e. 54919492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/23, 673/63, 887/918 is 54919492.
LCM(92/23, 673/63, 887/918) = 54919492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/23,673/63,887/918
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 92,673,887
Least Common Multiple of Numerators i.e. LCM of 92,673,887 is 54919492.
GCF of Denominators means GCF of 23,63,918 as per the given fractions.
GCF of 23,63,918 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,673,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 54919492
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 92,673,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,673,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,673,887) x common factors =1 x 1 = 1
LCM(92,673,887) = ( 92 × 673 × 887 ) / 1
LCM(92,673,887) = 54919492 / 1
LCM(92,673,887) = 54919492
Lets's calculate GCF of 23,63,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54919492/1
Therefore the LCM of Fractions 92/23,673/63,887/918 is 54919492
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 23,63,918 . The biggest common factor number is the GCF number.
So the greatest common factor 23,63,918 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 92/23, 673/63, 887/918?
Answer: LCM of Numerators as per given numbers 92/23, 673/63, 887/918 is
LCM of Numerators i.e. for 92,673,887 is 54919492
GCF of denominators i.e. for 23,63,918 is 1.
Thus, LCM of Fractions is 54919492.Finally, LCM of Fractions for 92/23, 673/63, 887/918 is 54919492.