Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 853/294, 617/793, 696/388 quickly i.e. 366305496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 853/294, 617/793, 696/388 is 366305496.
LCM(853/294, 617/793, 696/388) = 366305496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 853/294,617/793,696/388
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 853,617,696
Least Common Multiple of Numerators i.e. LCM of 853,617,696 is 366305496.
GCF of Denominators means GCF of 294,793,388 as per the given fractions.
GCF of 294,793,388 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 853,617,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 366305496
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 853,617,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,617,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,617,696) x common factors =1 x 1 = 1
LCM(853,617,696) = ( 853 × 617 × 696 ) / 1
LCM(853,617,696) = 366305496 / 1
LCM(853,617,696) = 366305496
Lets's calculate GCF of 294,793,388
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366305496/1
Therefore the LCM of Fractions 853/294,617/793,696/388 is 366305496
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 294,793,388 . The biggest common factor number is the GCF number.
So the greatest common factor 294,793,388 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 853/294, 617/793, 696/388?
Answer: LCM of Numerators as per given numbers 853/294, 617/793, 696/388 is
LCM of Numerators i.e. for 853,617,696 is 366305496
GCF of denominators i.e. for 294,793,388 is 1.
Thus, LCM of Fractions is 366305496.Finally, LCM of Fractions for 853/294, 617/793, 696/388 is 366305496.