Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/40, 10/35, 71/34, 83/301 quickly i.e. 648230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/40, 10/35, 71/34, 83/301 is 648230.
LCM(11/40, 10/35, 71/34, 83/301) = 648230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/40,10/35,71/34,83/301
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 11,10,71,83
Least Common Multiple of Numerators i.e. LCM of 11,10,71,83 is 648230.
GCF of Denominators means GCF of 40,35,34,301 as per the given fractions.
GCF of 40,35,34,301 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,10,71,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 648230
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 11,10,71,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,10,71,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,10,71,83) x common factors =1 x 1 = 1
LCM(11,10,71,83) = ( 11 × 10 × 71 × 83 ) / 1
LCM(11,10,71,83) = 648230 / 1
LCM(11,10,71,83) = 648230
Lets's calculate GCF of 40,35,34,301
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648230/1
Therefore the LCM of Fractions 11/40,10/35,71/34,83/301 is 648230
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 40,35,34,301 . The biggest common factor number is the GCF number.
So the greatest common factor 40,35,34,301 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 11/40, 10/35, 71/34, 83/301?
Answer: LCM of Numerators as per given numbers 11/40, 10/35, 71/34, 83/301 is
LCM of Numerators i.e. for 11,10,71,83 is 648230
GCF of denominators i.e. for 40,35,34,301 is 1.
Thus, LCM of Fractions is 648230.Finally, LCM of Fractions for 11/40, 10/35, 71/34, 83/301 is 648230.