Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 984/200, 653/409, 137/226 quickly i.e. 88029624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 984/200, 653/409, 137/226 is 88029624.
LCM(984/200, 653/409, 137/226) = 88029624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 984/200,653/409,137/226
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 984,653,137
Least Common Multiple of Numerators i.e. LCM of 984,653,137 is 88029624.
GCF of Denominators means GCF of 200,409,226 as per the given fractions.
GCF of 200,409,226 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 984,653,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 88029624
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 984,653,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,653,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,653,137) x common factors =1 x 1 = 1
LCM(984,653,137) = ( 984 × 653 × 137 ) / 1
LCM(984,653,137) = 88029624 / 1
LCM(984,653,137) = 88029624
Lets's calculate GCF of 200,409,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88029624/1
Therefore the LCM of Fractions 984/200,653/409,137/226 is 88029624
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 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 200,409,226 . The biggest common factor number is the GCF number.
So the greatest common factor 200,409,226 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 984/200, 653/409, 137/226?
Answer: LCM of Numerators as per given numbers 984/200, 653/409, 137/226 is
LCM of Numerators i.e. for 984,653,137 is 88029624
GCF of denominators i.e. for 200,409,226 is 1.
Thus, LCM of Fractions is 88029624.Finally, LCM of Fractions for 984/200, 653/409, 137/226 is 88029624.