Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 131/361, 303/768, 700/304 quickly i.e. 27785100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 131/361, 303/768, 700/304 is 27785100.
LCM(131/361, 303/768, 700/304) = 27785100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 131/361,303/768,700/304
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 131,303,700
Least Common Multiple of Numerators i.e. LCM of 131,303,700 is 27785100.
GCF of Denominators means GCF of 361,768,304 as per the given fractions.
GCF of 361,768,304 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 131,303,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 27785100
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 131,303,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,303,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,303,700) x common factors =1 x 1 = 1
LCM(131,303,700) = ( 131 × 303 × 700 ) / 1
LCM(131,303,700) = 27785100 / 1
LCM(131,303,700) = 27785100
Lets's calculate GCF of 361,768,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27785100/1
Therefore the LCM of Fractions 131/361,303/768,700/304 is 27785100
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 361,768,304 . The biggest common factor number is the GCF number.
So the greatest common factor 361,768,304 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 131/361, 303/768, 700/304?
Answer: LCM of Numerators as per given numbers 131/361, 303/768, 700/304 is
LCM of Numerators i.e. for 131,303,700 is 27785100
GCF of denominators i.e. for 361,768,304 is 1.
Thus, LCM of Fractions is 27785100.Finally, LCM of Fractions for 131/361, 303/768, 700/304 is 27785100.