Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/370, 9731/814 quickly i.e. 26826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/370, 9731/814 is 26826.
LCM(204/370, 9731/814) = 26826
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/370,9731/814
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 204,9731
Least Common Multiple of Numerators i.e. LCM of 204,9731 is 1985124.
GCF of Denominators means GCF of 370,814 as per the given fractions.
GCF of 370,814 is 74 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,9731
Given numbers has no common factors except 1. So, there LCM is their product i.e 1985124
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 204,9731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,9731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,9731) x common factors =1 x 1 = 1
LCM(204,9731) = ( 204 × 9731 ) / 1
LCM(204,9731) = 1985124 / 1
LCM(204,9731) = 1985124
Lets's calculate GCF of 370,814
2 | 370, 814 |
37 | 185, 407 |
5, 11 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1985124/74
Therefore the LCM of Fractions 204/370,9731/814 is 26826
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 370,814 . The biggest common factor number is the GCF number.
So the greatest common factor 370,814 is 74.
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 204/370, 9731/814?
Answer: LCM of Numerators as per given numbers 204/370, 9731/814 is
LCM of Numerators i.e. for 204,9731 is 1985124
GCF of denominators i.e. for 370,814 is 74.
Thus, LCM of Fractions is 26826.Finally, LCM of Fractions for 204/370, 9731/814 is 26826.