Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 788/833, 6168/595 quickly i.e. 1215096/119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 788/833, 6168/595 is 1215096/119.
LCM(788/833, 6168/595) = 1215096/119
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 788/833,6168/595
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 788,6168
Least Common Multiple of Numerators i.e. LCM of 788,6168 is 1215096.
GCF of Denominators means GCF of 833,595 as per the given fractions.
GCF of 833,595 is 119 as it is the largest common factor for these numbers.
Lets's calculate LCM of 788,6168
2 | 788, 6168 |
2 | 394, 3084 |
197, 1542 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 1542 = 1215096
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 788,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,6168) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(788,6168) x common factors =4 x 1 = 4
LCM(788,6168) = ( 788 × 6168 ) / 4
LCM(788,6168) = 4860384 / 4
LCM(788,6168) = 1215096
Lets's calculate GCF of 833,595
7 | 833, 595 |
17 | 119, 85 |
7, 5 |
∴ So the GCF of the given numbers is 7 x 17 = 119
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1215096/119
Therefore the LCM of Fractions 788/833,6168/595 is 1215096/119
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 833,595 . The biggest common factor number is the GCF number.
So the greatest common factor 833,595 is 119.
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 788/833, 6168/595?
Answer: LCM of Numerators as per given numbers 788/833, 6168/595 is
LCM of Numerators i.e. for 788,6168 is 1215096
GCF of denominators i.e. for 833,595 is 119.
Thus, LCM of Fractions is 1215096/119.Finally, LCM of Fractions for 788/833, 6168/595 is 1215096/119.