Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/202, 422/187, 837/683 quickly i.e. 25078194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/202, 422/187, 837/683 is 25078194.
LCM(71/202, 422/187, 837/683) = 25078194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/202,422/187,837/683
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 71,422,837
Least Common Multiple of Numerators i.e. LCM of 71,422,837 is 25078194.
GCF of Denominators means GCF of 202,187,683 as per the given fractions.
GCF of 202,187,683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,422,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 25078194
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 71,422,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,422,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,422,837) x common factors =1 x 1 = 1
LCM(71,422,837) = ( 71 × 422 × 837 ) / 1
LCM(71,422,837) = 25078194 / 1
LCM(71,422,837) = 25078194
Lets's calculate GCF of 202,187,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25078194/1
Therefore the LCM of Fractions 71/202,422/187,837/683 is 25078194
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Greatest Common Factor
We found the factors 202,187,683 . The biggest common factor number is the GCF number.
So the greatest common factor 202,187,683 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 71/202, 422/187, 837/683?
Answer: LCM of Numerators as per given numbers 71/202, 422/187, 837/683 is
LCM of Numerators i.e. for 71,422,837 is 25078194
GCF of denominators i.e. for 202,187,683 is 1.
Thus, LCM of Fractions is 25078194.Finally, LCM of Fractions for 71/202, 422/187, 837/683 is 25078194.