Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/791, 82/430, 392/112 quickly i.e. 176792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/791, 82/430, 392/112 is 176792.
LCM(11/791, 82/430, 392/112) = 176792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/791,82/430,392/112
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 11,82,392
Least Common Multiple of Numerators i.e. LCM of 11,82,392 is 176792.
GCF of Denominators means GCF of 791,430,112 as per the given fractions.
GCF of 791,430,112 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,82,392
2 | 11, 82, 392 |
11, 41, 196 |
∴ So the LCM of the given numbers is 2 x 11 x 41 x 196 = 176792
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 11,82,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,82,392) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,82,392) x common factors =1 x 2 = 2
LCM(11,82,392) = ( 11 × 82 × 392 ) / 2
LCM(11,82,392) = 353584 / 2
LCM(11,82,392) = 176792
Lets's calculate GCF of 791,430,112
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176792/1
Therefore the LCM of Fractions 11/791,82/430,392/112 is 176792
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 791,430,112 . The biggest common factor number is the GCF number.
So the greatest common factor 791,430,112 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 11/791, 82/430, 392/112?
Answer: LCM of Numerators as per given numbers 11/791, 82/430, 392/112 is
LCM of Numerators i.e. for 11,82,392 is 176792
GCF of denominators i.e. for 791,430,112 is 1.
Thus, LCM of Fractions is 176792.Finally, LCM of Fractions for 11/791, 82/430, 392/112 is 176792.