Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 958/66, 221/28, 917/791 quickly i.e. 194145406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 958/66, 221/28, 917/791 is 194145406.
LCM(958/66, 221/28, 917/791) = 194145406
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 958/66,221/28,917/791
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 958,221,917
Least Common Multiple of Numerators i.e. LCM of 958,221,917 is 194145406.
GCF of Denominators means GCF of 66,28,791 as per the given fractions.
GCF of 66,28,791 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 958,221,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 194145406
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 958,221,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,221,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,221,917) x common factors =1 x 1 = 1
LCM(958,221,917) = ( 958 × 221 × 917 ) / 1
LCM(958,221,917) = 194145406 / 1
LCM(958,221,917) = 194145406
Lets's calculate GCF of 66,28,791
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194145406/1
Therefore the LCM of Fractions 958/66,221/28,917/791 is 194145406
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 66,28,791 . The biggest common factor number is the GCF number.
So the greatest common factor 66,28,791 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 958/66, 221/28, 917/791?
Answer: LCM of Numerators as per given numbers 958/66, 221/28, 917/791 is
LCM of Numerators i.e. for 958,221,917 is 194145406
GCF of denominators i.e. for 66,28,791 is 1.
Thus, LCM of Fractions is 194145406.Finally, LCM of Fractions for 958/66, 221/28, 917/791 is 194145406.