Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/381, 721/353, 739/278 quickly i.e. 196077392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/381, 721/353, 739/278 is 196077392.
LCM(368/381, 721/353, 739/278) = 196077392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/381,721/353,739/278
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 368,721,739
Least Common Multiple of Numerators i.e. LCM of 368,721,739 is 196077392.
GCF of Denominators means GCF of 381,353,278 as per the given fractions.
GCF of 381,353,278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,721,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 196077392
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 368,721,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,721,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,721,739) x common factors =1 x 1 = 1
LCM(368,721,739) = ( 368 × 721 × 739 ) / 1
LCM(368,721,739) = 196077392 / 1
LCM(368,721,739) = 196077392
Lets's calculate GCF of 381,353,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196077392/1
Therefore the LCM of Fractions 368/381,721/353,739/278 is 196077392
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 381,353,278 . The biggest common factor number is the GCF number.
So the greatest common factor 381,353,278 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 368/381, 721/353, 739/278?
Answer: LCM of Numerators as per given numbers 368/381, 721/353, 739/278 is
LCM of Numerators i.e. for 368,721,739 is 196077392
GCF of denominators i.e. for 381,353,278 is 1.
Thus, LCM of Fractions is 196077392.Finally, LCM of Fractions for 368/381, 721/353, 739/278 is 196077392.