LCM of 800, 457, 108, 289, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 457, 108, 289, 930 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 800, 457, 108, 289, 930. So, keep reading to learn more.
Given numbers are 800,457,108,289,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,457,108,289,930 is 88436080800.
Find LCM of 800,457,108,289,930 with Prime Factorization
| 2 | 800, 457, 108, 289, 930 |
| 2 | 400, 457, 54, 289, 465 |
| 3 | 200, 457, 27, 289, 465 |
| 5 | 200, 457, 9, 289, 155 |
| 40, 457, 9, 289, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 40 x 457 x 9 x 289 x 31 = 88436080800
Therefore, the lowest common multiple of 800,457,108,289,930 is 88436080800.
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.
800 x 457 x 108 x 289 x 930 = 10612329696000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
457 : 1, 457
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
289 : 1, 17, 289
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,457,108,289,930, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
457:457
108:2x 2x 3x 3x 3
289:17x 17
930:2x 3x 5x 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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 10612329696000/(1x120)
LCM = 10612329696000/120
LCM = 88436080800
Thus, we can understand that the LCM of 800,457,108,289,930 is 88436080800.
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FAQs on LCM of 800, 457, 108, 289, 930
1. What is the LCM of 800, 457, 108, 289, 930?
Answer: LCM of 800, 457, 108, 289, 930 is 88436080800.
2. How to calculate the LCM of 800, 457, 108, 289, 930?
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 800, 457, 108, 289, 930.
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}.