LCM of 585, 973, 970, 960, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 973, 970, 960, 558 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 585, 973, 970, 960, 558. So, keep reading to learn more.
Given numbers are 585,973,970,960,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,973,970,960,558 is 109542363840.
Find LCM of 585,973,970,960,558 with Prime Factorization
| 2 | 585, 973, 970, 960, 558 |
| 3 | 585, 973, 485, 480, 279 |
| 3 | 195, 973, 485, 160, 93 |
| 5 | 65, 973, 485, 160, 31 |
| 13, 973, 97, 32, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 973 x 97 x 32 x 31 = 109542363840
Therefore, the lowest common multiple of 585,973,970,960,558 is 109542363840.
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.
585 x 973 x 970 x 960 x 558 = 295764382368000
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
973 : 1, 7, 139, 973
970 : 1, 2, 5, 10, 97, 194, 485, 970
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,973,970,960,558, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
973:7x 139
970:2x 5x 97
960:2x 2x 2x 2x 2x 2x 3x 5
558:2x 3x 3x 31
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 3x 3x 3x 5x 5 = 2700
Therefore, the value for common factors is 2700.
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 = 295764382368000/(1x2700)
LCM = 295764382368000/2700
LCM = 109542363840
Thus, we can understand that the LCM of 585,973,970,960,558 is 109542363840.
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FAQs on LCM of 585, 973, 970, 960, 558
1. What is the LCM of 585, 973, 970, 960, 558?
Answer: LCM of 585, 973, 970, 960, 558 is 109542363840.
2. How to calculate the LCM of 585, 973, 970, 960, 558?
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 585, 973, 970, 960, 558.
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}.