Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/355, 93/270, 647/611 quickly i.e. 4091628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/355, 93/270, 647/611 is 4091628.
LCM(68/355, 93/270, 647/611) = 4091628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/355,93/270,647/611
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 68,93,647
Least Common Multiple of Numerators i.e. LCM of 68,93,647 is 4091628.
GCF of Denominators means GCF of 355,270,611 as per the given fractions.
GCF of 355,270,611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,93,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 4091628
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 68,93,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,93,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,93,647) x common factors =1 x 1 = 1
LCM(68,93,647) = ( 68 × 93 × 647 ) / 1
LCM(68,93,647) = 4091628 / 1
LCM(68,93,647) = 4091628
Lets's calculate GCF of 355,270,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4091628/1
Therefore the LCM of Fractions 68/355,93/270,647/611 is 4091628
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 355,270,611 . The biggest common factor number is the GCF number.
So the greatest common factor 355,270,611 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 68/355, 93/270, 647/611?
Answer: LCM of Numerators as per given numbers 68/355, 93/270, 647/611 is
LCM of Numerators i.e. for 68,93,647 is 4091628
GCF of denominators i.e. for 355,270,611 is 1.
Thus, LCM of Fractions is 4091628.Finally, LCM of Fractions for 68/355, 93/270, 647/611 is 4091628.