Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/18, 398/56, 166/911 quickly i.e. 1519564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/18, 398/56, 166/911 is 1519564.
LCM(92/18, 398/56, 166/911) = 1519564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/18,398/56,166/911
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 92,398,166
Least Common Multiple of Numerators i.e. LCM of 92,398,166 is 1519564.
GCF of Denominators means GCF of 18,56,911 as per the given fractions.
GCF of 18,56,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,398,166
2 | 92, 398, 166 |
46, 199, 83 |
∴ So the LCM of the given numbers is 2 x 46 x 199 x 83 = 1519564
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 92,398,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,398,166) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(92,398,166) x common factors =2 x 2 = 4
LCM(92,398,166) = ( 92 × 398 × 166 ) / 4
LCM(92,398,166) = 6078256 / 4
LCM(92,398,166) = 1519564
Lets's calculate GCF of 18,56,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1519564/1
Therefore the LCM of Fractions 92/18,398/56,166/911 is 1519564
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 18,56,911 . The biggest common factor number is the GCF number.
So the greatest common factor 18,56,911 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 92/18, 398/56, 166/911?
Answer: LCM of Numerators as per given numbers 92/18, 398/56, 166/911 is
LCM of Numerators i.e. for 92,398,166 is 1519564
GCF of denominators i.e. for 18,56,911 is 1.
Thus, LCM of Fractions is 1519564.Finally, LCM of Fractions for 92/18, 398/56, 166/911 is 1519564.