LCM of 999, 962, 507, 820, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 962, 507, 820, 205 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 999, 962, 507, 820, 205. So, keep reading to learn more.
Given numbers are 999,962,507,820,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,962,507,820,205 is 138441420.
Find LCM of 999,962,507,820,205 with Prime Factorization
| 2 | 999, 962, 507, 820, 205 |
| 3 | 999, 481, 507, 410, 205 |
| 5 | 333, 481, 169, 410, 205 |
| 13 | 333, 481, 169, 82, 41 |
| 37 | 333, 37, 13, 82, 41 |
| 41 | 9, 1, 13, 82, 41 |
| 9, 1, 13, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 37 x 41 x 9 x 1 x 13 x 2 x 1 = 138441420
Therefore, the lowest common multiple of 999,962,507,820,205 is 138441420.
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.
999 x 962 x 507 x 820 x 205 = 81906097314600
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
962 : 1, 2, 13, 26, 37, 74, 481, 962
507 : 1, 3, 13, 39, 169, 507
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,962,507,820,205, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
962:2x 13x 37
507:3x 13x 13
820:2x 2x 5x 41
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13x 37x 41 = 591630
Therefore, the value for common factors is 591630.
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 = 81906097314600/(1x591630)
LCM = 81906097314600/591630
LCM = 138441420
Thus, we can understand that the LCM of 999,962,507,820,205 is 138441420.
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FAQs on LCM of 999, 962, 507, 820, 205
1. What is the LCM of 999, 962, 507, 820, 205?
Answer: LCM of 999, 962, 507, 820, 205 is 138441420.
2. How to calculate the LCM of 999, 962, 507, 820, 205?
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 999, 962, 507, 820, 205.
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}.