Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 754/19, 380/82, 409/36 quickly i.e. 58593340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 754/19, 380/82, 409/36 is 58593340.
LCM(754/19, 380/82, 409/36) = 58593340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 754/19,380/82,409/36
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 754,380,409
Least Common Multiple of Numerators i.e. LCM of 754,380,409 is 58593340.
GCF of Denominators means GCF of 19,82,36 as per the given fractions.
GCF of 19,82,36 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 754,380,409
2 | 754, 380, 409 |
377, 190, 409 |
∴ So the LCM of the given numbers is 2 x 377 x 190 x 409 = 58593340
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 754,380,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,380,409) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(754,380,409) x common factors =1 x 2 = 2
LCM(754,380,409) = ( 754 × 380 × 409 ) / 2
LCM(754,380,409) = 117186680 / 2
LCM(754,380,409) = 58593340
Lets's calculate GCF of 19,82,36
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58593340/1
Therefore the LCM of Fractions 754/19,380/82,409/36 is 58593340
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Greatest Common Factor
We found the factors 19,82,36 . The biggest common factor number is the GCF number.
So the greatest common factor 19,82,36 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 754/19, 380/82, 409/36?
Answer: LCM of Numerators as per given numbers 754/19, 380/82, 409/36 is
LCM of Numerators i.e. for 754,380,409 is 58593340
GCF of denominators i.e. for 19,82,36 is 1.
Thus, LCM of Fractions is 58593340.Finally, LCM of Fractions for 754/19, 380/82, 409/36 is 58593340.