Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/408, 12/535, 34/609 quickly i.e. 1428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/408, 12/535, 34/609 is 1428.
LCM(7/408, 12/535, 34/609) = 1428
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/408,12/535,34/609
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 7,12,34
Least Common Multiple of Numerators i.e. LCM of 7,12,34 is 1428.
GCF of Denominators means GCF of 408,535,609 as per the given fractions.
GCF of 408,535,609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,12,34
2 | 7, 12, 34 |
7, 6, 17 |
∴ So the LCM of the given numbers is 2 x 7 x 6 x 17 = 1428
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 7,12,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,12,34) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(7,12,34) x common factors =1 x 2 = 2
LCM(7,12,34) = ( 7 × 12 × 34 ) / 2
LCM(7,12,34) = 2856 / 2
LCM(7,12,34) = 1428
Lets's calculate GCF of 408,535,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428/1
Therefore the LCM of Fractions 7/408,12/535,34/609 is 1428
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 408,535,609 . The biggest common factor number is the GCF number.
So the greatest common factor 408,535,609 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 7/408, 12/535, 34/609?
Answer: LCM of Numerators as per given numbers 7/408, 12/535, 34/609 is
LCM of Numerators i.e. for 7,12,34 is 1428
GCF of denominators i.e. for 408,535,609 is 1.
Thus, LCM of Fractions is 1428.Finally, LCM of Fractions for 7/408, 12/535, 34/609 is 1428.