Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 743/13, 391/22, 584/642 quickly i.e. 169659592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 743/13, 391/22, 584/642 is 169659592.
LCM(743/13, 391/22, 584/642) = 169659592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 743/13,391/22,584/642
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 743,391,584
Least Common Multiple of Numerators i.e. LCM of 743,391,584 is 169659592.
GCF of Denominators means GCF of 13,22,642 as per the given fractions.
GCF of 13,22,642 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 743,391,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 169659592
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 743,391,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,391,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,391,584) x common factors =1 x 1 = 1
LCM(743,391,584) = ( 743 × 391 × 584 ) / 1
LCM(743,391,584) = 169659592 / 1
LCM(743,391,584) = 169659592
Lets's calculate GCF of 13,22,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169659592/1
Therefore the LCM of Fractions 743/13,391/22,584/642 is 169659592
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 13,22,642 . The biggest common factor number is the GCF number.
So the greatest common factor 13,22,642 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 743/13, 391/22, 584/642?
Answer: LCM of Numerators as per given numbers 743/13, 391/22, 584/642 is
LCM of Numerators i.e. for 743,391,584 is 169659592
GCF of denominators i.e. for 13,22,642 is 1.
Thus, LCM of Fractions is 169659592.Finally, LCM of Fractions for 743/13, 391/22, 584/642 is 169659592.