LCM of 589, 445, 315, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 445, 315, 455 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 589, 445, 315, 455. So, keep reading to learn more.
Given numbers are 589,445,315,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,445,315,455 is 214663995.
Find LCM of 589,445,315,455 with Prime Factorization
| 5 | 589, 445, 315, 455 |
| 7 | 589, 89, 63, 91 |
| 589, 89, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 589 x 89 x 9 x 13 = 214663995
Therefore, the lowest common multiple of 589,445,315,455 is 214663995.
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.
589 x 445 x 315 x 455 = 37566199125
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.
589 : 1, 19, 31, 589
445 : 1, 5, 89, 445
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,445,315,455, is 1.
Now, the common factors can be found like this.
589:19x 31
445:5x 89
315:3x 3x 5x 7
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 37566199125/(1x175)
LCM = 37566199125/175
LCM = 214663995
Thus, we can understand that the LCM of 589,445,315,455 is 214663995.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 445, 315, 455
1. What is the LCM of 589, 445, 315, 455?
Answer: LCM of 589, 445, 315, 455 is 214663995.
2. How to calculate the LCM of 589, 445, 315, 455?
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 589, 445, 315, 455.
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}.