Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 371/684, 355/788 quickly i.e. 131705/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 371/684, 355/788 is 131705/4.
LCM(371/684, 355/788) = 131705/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 371/684,355/788
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 371,355
Least Common Multiple of Numerators i.e. LCM of 371,355 is 131705.
GCF of Denominators means GCF of 684,788 as per the given fractions.
GCF of 684,788 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 371,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 131705
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 371,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,355) x common factors =1 x 1 = 1
LCM(371,355) = ( 371 × 355 ) / 1
LCM(371,355) = 131705 / 1
LCM(371,355) = 131705
Lets's calculate GCF of 684,788
2 | 684, 788 |
2 | 342, 394 |
171, 197 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131705/4
Therefore the LCM of Fractions 371/684,355/788 is 131705/4
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Greatest Common Factor
We found the factors 684,788 . The biggest common factor number is the GCF number.
So the greatest common factor 684,788 is 4.
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 371/684, 355/788?
Answer: LCM of Numerators as per given numbers 371/684, 355/788 is
LCM of Numerators i.e. for 371,355 is 131705
GCF of denominators i.e. for 684,788 is 4.
Thus, LCM of Fractions is 131705/4.Finally, LCM of Fractions for 371/684, 355/788 is 131705/4.