Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/200, 11/649, 71/638 quickly i.e. 781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/200, 11/649, 71/638 is 781.
LCM(1/200, 11/649, 71/638) = 781
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/200,11/649,71/638
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 1,11,71
Least Common Multiple of Numerators i.e. LCM of 1,11,71 is 781.
GCF of Denominators means GCF of 200,649,638 as per the given fractions.
GCF of 200,649,638 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,11,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 781
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 1,11,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,11,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,11,71) x common factors =1 x 1 = 1
LCM(1,11,71) = ( 1 × 11 × 71 ) / 1
LCM(1,11,71) = 781 / 1
LCM(1,11,71) = 781
Lets's calculate GCF of 200,649,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781/1
Therefore the LCM of Fractions 1/200,11/649,71/638 is 781
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 200,649,638 . The biggest common factor number is the GCF number.
So the greatest common factor 200,649,638 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 1/200, 11/649, 71/638?
Answer: LCM of Numerators as per given numbers 1/200, 11/649, 71/638 is
LCM of Numerators i.e. for 1,11,71 is 781
GCF of denominators i.e. for 200,649,638 is 1.
Thus, LCM of Fractions is 781.Finally, LCM of Fractions for 1/200, 11/649, 71/638 is 781.