Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/182, 893/793, 388/232 quickly i.e. 27372236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/182, 893/793, 388/232 is 27372236.
LCM(79/182, 893/793, 388/232) = 27372236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/182,893/793,388/232
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 79,893,388
Least Common Multiple of Numerators i.e. LCM of 79,893,388 is 27372236.
GCF of Denominators means GCF of 182,793,232 as per the given fractions.
GCF of 182,793,232 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,893,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 27372236
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 79,893,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,893,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,893,388) x common factors =1 x 1 = 1
LCM(79,893,388) = ( 79 × 893 × 388 ) / 1
LCM(79,893,388) = 27372236 / 1
LCM(79,893,388) = 27372236
Lets's calculate GCF of 182,793,232
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27372236/1
Therefore the LCM of Fractions 79/182,893/793,388/232 is 27372236
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 182,793,232 . The biggest common factor number is the GCF number.
So the greatest common factor 182,793,232 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 79/182, 893/793, 388/232?
Answer: LCM of Numerators as per given numbers 79/182, 893/793, 388/232 is
LCM of Numerators i.e. for 79,893,388 is 27372236
GCF of denominators i.e. for 182,793,232 is 1.
Thus, LCM of Fractions is 27372236.Finally, LCM of Fractions for 79/182, 893/793, 388/232 is 27372236.