Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/348, 6379/1346 quickly i.e. 491183/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/348, 6379/1346 is 491183/2.
LCM(77/348, 6379/1346) = 491183/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/348,6379/1346
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 77,6379
Least Common Multiple of Numerators i.e. LCM of 77,6379 is 491183.
GCF of Denominators means GCF of 348,1346 as per the given fractions.
GCF of 348,1346 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,6379
Given numbers has no common factors except 1. So, there LCM is their product i.e 491183
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 77,6379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,6379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,6379) x common factors =1 x 1 = 1
LCM(77,6379) = ( 77 × 6379 ) / 1
LCM(77,6379) = 491183 / 1
LCM(77,6379) = 491183
Lets's calculate GCF of 348,1346
2 | 348, 1346 |
174, 673 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491183/2
Therefore the LCM of Fractions 77/348,6379/1346 is 491183/2
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 1346
List of positive integer factors of 1346 that divides 1346 without a remainder.
1,2,673,1346
Greatest Common Factor
We found the factors 348,1346 . The biggest common factor number is the GCF number.
So the greatest common factor 348,1346 is 2.
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 77/348, 6379/1346?
Answer: LCM of Numerators as per given numbers 77/348, 6379/1346 is
LCM of Numerators i.e. for 77,6379 is 491183
GCF of denominators i.e. for 348,1346 is 2.
Thus, LCM of Fractions is 491183/2.Finally, LCM of Fractions for 77/348, 6379/1346 is 491183/2.