Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/707, 219/606, 347/205 quickly i.e. 27965424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/707, 219/606, 347/205 is 27965424.
LCM(368/707, 219/606, 347/205) = 27965424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/707,219/606,347/205
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 368,219,347
Least Common Multiple of Numerators i.e. LCM of 368,219,347 is 27965424.
GCF of Denominators means GCF of 707,606,205 as per the given fractions.
GCF of 707,606,205 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,219,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 27965424
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 368,219,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,219,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,219,347) x common factors =1 x 1 = 1
LCM(368,219,347) = ( 368 × 219 × 347 ) / 1
LCM(368,219,347) = 27965424 / 1
LCM(368,219,347) = 27965424
Lets's calculate GCF of 707,606,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27965424/1
Therefore the LCM of Fractions 368/707,219/606,347/205 is 27965424
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 707,606,205 . The biggest common factor number is the GCF number.
So the greatest common factor 707,606,205 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 368/707, 219/606, 347/205?
Answer: LCM of Numerators as per given numbers 368/707, 219/606, 347/205 is
LCM of Numerators i.e. for 368,219,347 is 27965424
GCF of denominators i.e. for 707,606,205 is 1.
Thus, LCM of Fractions is 27965424.Finally, LCM of Fractions for 368/707, 219/606, 347/205 is 27965424.