LCM of 561, 408, 403, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 408, 403, 589 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 561, 408, 403, 589. So, keep reading to learn more.
Given numbers are 561,408,403,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,408,403,589 is 34364616.
Find LCM of 561,408,403,589 with Prime Factorization
| 3 | 561, 408, 403, 589 |
| 17 | 187, 136, 403, 589 |
| 31 | 11, 8, 403, 589 |
| 11, 8, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 31 x 11 x 8 x 13 x 19 = 34364616
Therefore, the lowest common multiple of 561,408,403,589 is 34364616.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
561 x 408 x 403 x 589 = 54330457896
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
561 : 1, 3, 11, 17, 33, 51, 187, 561
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
403 : 1, 13, 31, 403
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,408,403,589, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
408:2x 2x 2x 3x 17
403:13x 31
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 31 = 1581
Therefore, the value for common factors is 1581.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 54330457896/(1x1581)
LCM = 54330457896/1581
LCM = 34364616
Thus, we can understand that the LCM of 561,408,403,589 is 34364616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 408, 403, 589
1. What is the LCM of 561, 408, 403, 589?
Answer: LCM of 561, 408, 403, 589 is 34364616.
2. How to calculate the LCM of 561, 408, 403, 589?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 561, 408, 403, 589.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.