Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 719/637, 114/159, 409/206 quickly i.e. 33524094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 719/637, 114/159, 409/206 is 33524094.
LCM(719/637, 114/159, 409/206) = 33524094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 719/637,114/159,409/206
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 719,114,409
Least Common Multiple of Numerators i.e. LCM of 719,114,409 is 33524094.
GCF of Denominators means GCF of 637,159,206 as per the given fractions.
GCF of 637,159,206 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 719,114,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 33524094
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 719,114,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,114,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,114,409) x common factors =1 x 1 = 1
LCM(719,114,409) = ( 719 × 114 × 409 ) / 1
LCM(719,114,409) = 33524094 / 1
LCM(719,114,409) = 33524094
Lets's calculate GCF of 637,159,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33524094/1
Therefore the LCM of Fractions 719/637,114/159,409/206 is 33524094
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 637,159,206 . The biggest common factor number is the GCF number.
So the greatest common factor 637,159,206 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 719/637, 114/159, 409/206?
Answer: LCM of Numerators as per given numbers 719/637, 114/159, 409/206 is
LCM of Numerators i.e. for 719,114,409 is 33524094
GCF of denominators i.e. for 637,159,206 is 1.
Thus, LCM of Fractions is 33524094.Finally, LCM of Fractions for 719/637, 114/159, 409/206 is 33524094.