LCM of 290, 806, 589, 330, 647
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 806, 589, 330, 647 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 290, 806, 589, 330, 647. So, keep reading to learn more.
Given numbers are 290,806,589,330,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,806,589,330,647 is 47410536030.
Find LCM of 290,806,589,330,647 with Prime Factorization
| 2 | 290, 806, 589, 330, 647 |
| 5 | 145, 403, 589, 165, 647 |
| 31 | 29, 403, 589, 33, 647 |
| 29, 13, 19, 33, 647 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 29 x 13 x 19 x 33 x 647 = 47410536030
Therefore, the lowest common multiple of 290,806,589,330,647 is 47410536030.
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.
290 x 806 x 589 x 330 x 647 = 29394532338600
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
806 : 1, 2, 13, 26, 31, 62, 403, 806
589 : 1, 19, 31, 589
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,806,589,330,647, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
806:2x 13x 31
589:19x 31
330:2x 3x 5x 11
647:647
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 31 = 620
Therefore, the value for common factors is 620.
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 = 29394532338600/(1x620)
LCM = 29394532338600/620
LCM = 47410536030
Thus, we can understand that the LCM of 290,806,589,330,647 is 47410536030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 290, 806, 589, 330, 647
1. What is the LCM of 290, 806, 589, 330, 647?
Answer: LCM of 290, 806, 589, 330, 647 is 47410536030.
2. How to calculate the LCM of 290, 806, 589, 330, 647?
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 290, 806, 589, 330, 647.
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}.