LCM of 322, 210, 976, 240, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 210, 976, 240, 819 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 322, 210, 976, 240, 819. So, keep reading to learn more.
Given numbers are 322,210,976,240,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,210,976,240,819 is 91924560.
Find LCM of 322,210,976,240,819 with Prime Factorization
| 2 | 322, 210, 976, 240, 819 |
| 2 | 161, 105, 488, 120, 819 |
| 2 | 161, 105, 244, 60, 819 |
| 2 | 161, 105, 122, 30, 819 |
| 3 | 161, 105, 61, 15, 819 |
| 5 | 161, 35, 61, 5, 273 |
| 7 | 161, 7, 61, 1, 273 |
| 23, 1, 61, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 1 x 61 x 1 x 39 = 91924560
Therefore, the lowest common multiple of 322,210,976,240,819 is 91924560.
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.
322 x 210 x 976 x 240 x 819 = 12972393907200
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,210,976,240,819, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
210:2x 3x 5x 7
976:2x 2x 2x 2x 61
240:2x 2x 2x 2x 3x 5
819:3x 3x 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.
2x 2x 2x 2x 2x 2x 3x 3x 5x 7x 7 = 141120
Therefore, the value for common factors is 141120.
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 = 12972393907200/(1x141120)
LCM = 12972393907200/141120
LCM = 91924560
Thus, we can understand that the LCM of 322,210,976,240,819 is 91924560.
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FAQs on LCM of 322, 210, 976, 240, 819
1. What is the LCM of 322, 210, 976, 240, 819?
Answer: LCM of 322, 210, 976, 240, 819 is 91924560.
2. How to calculate the LCM of 322, 210, 976, 240, 819?
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 322, 210, 976, 240, 819.
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}.