Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/798, 6391/3192 quickly i.e. 6391/798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/798, 6391/3192 is 6391/798.
LCM(77/798, 6391/3192) = 6391/798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/798,6391/3192
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 77,6391
Least Common Multiple of Numerators i.e. LCM of 77,6391 is 6391.
GCF of Denominators means GCF of 798,3192 as per the given fractions.
GCF of 798,3192 is 798 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,6391
7 | 77, 6391 |
11 | 11, 913 |
1, 83 |
∴ So the LCM of the given numbers is 7 x 11 x 1 x 83 = 6391
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 77,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,6391) = 77
common factors(in case of two or more numbers have common factors) = 1
GCF(77,6391) x common factors =77 x 1 = 77
LCM(77,6391) = ( 77 × 6391 ) / 77
LCM(77,6391) = 492107 / 77
LCM(77,6391) = 6391
Lets's calculate GCF of 798,3192
2 | 798, 3192 |
3 | 399, 1596 |
7 | 133, 532 |
19 | 19, 76 |
1, 4 |
∴ So the GCF of the given numbers is 2 x 3 x 7 x 19 = 798
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6391/798
Therefore the LCM of Fractions 77/798,6391/3192 is 6391/798
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 3192
List of positive integer factors of 3192 that divides 3192 without a remainder.
1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192
Greatest Common Factor
We found the factors 798,3192 . The biggest common factor number is the GCF number.
So the greatest common factor 798,3192 is 798.
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 77/798, 6391/3192?
Answer: LCM of Numerators as per given numbers 77/798, 6391/3192 is
LCM of Numerators i.e. for 77,6391 is 6391
GCF of denominators i.e. for 798,3192 is 798.
Thus, LCM of Fractions is 6391/798.Finally, LCM of Fractions for 77/798, 6391/3192 is 6391/798.