Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 558/92, 343/11, 217/427 quickly i.e. 191394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 558/92, 343/11, 217/427 is 191394.
LCM(558/92, 343/11, 217/427) = 191394
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 558/92,343/11,217/427
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 558,343,217
Least Common Multiple of Numerators i.e. LCM of 558,343,217 is 191394.
GCF of Denominators means GCF of 92,11,427 as per the given fractions.
GCF of 92,11,427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 558,343,217
7 | 558, 343, 217 |
31 | 558, 49, 31 |
18, 49, 1 |
∴ So the LCM of the given numbers is 7 x 31 x 18 x 49 x 1 = 191394
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 558,343,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,343,217) = 1
common factors(in case of two or more numbers have common factors) = 217
GCF(558,343,217) x common factors =1 x 217 = 217
LCM(558,343,217) = ( 558 × 343 × 217 ) / 217
LCM(558,343,217) = 41532498 / 217
LCM(558,343,217) = 191394
Lets's calculate GCF of 92,11,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191394/1
Therefore the LCM of Fractions 558/92,343/11,217/427 is 191394
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 92,11,427 . The biggest common factor number is the GCF number.
So the greatest common factor 92,11,427 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 558/92, 343/11, 217/427?
Answer: LCM of Numerators as per given numbers 558/92, 343/11, 217/427 is
LCM of Numerators i.e. for 558,343,217 is 191394
GCF of denominators i.e. for 92,11,427 is 1.
Thus, LCM of Fractions is 191394.Finally, LCM of Fractions for 558/92, 343/11, 217/427 is 191394.