LCM of 999, 957, 362, 605, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 957, 362, 605, 592 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, 957, 362, 605, 592. So, keep reading to learn more.
Given numbers are 999,957,362,605,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,957,362,605,592 is 50759509680.
Find LCM of 999,957,362,605,592 with Prime Factorization
| 2 | 999, 957, 362, 605, 592 |
| 3 | 999, 957, 181, 605, 296 |
| 11 | 333, 319, 181, 605, 296 |
| 37 | 333, 29, 181, 55, 296 |
| 9, 29, 181, 55, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 9 x 29 x 181 x 55 x 8 = 50759509680
Therefore, the lowest common multiple of 999,957,362,605,592 is 50759509680.
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 957 x 362 x 605 x 592 = 123954722638560
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
362 : 1, 2, 181, 362
605 : 1, 5, 11, 55, 121, 605
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,957,362,605,592, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
957:3x 11x 29
362:2x 181
605:5x 11x 11
592:2x 2x 2x 2x 37
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 11x 37 = 2442
Therefore, the value for common factors is 2442.
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 = 123954722638560/(1x2442)
LCM = 123954722638560/2442
LCM = 50759509680
Thus, we can understand that the LCM of 999,957,362,605,592 is 50759509680.
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FAQs on LCM of 999, 957, 362, 605, 592
1. What is the LCM of 999, 957, 362, 605, 592?
Answer: LCM of 999, 957, 362, 605, 592 is 50759509680.
2. How to calculate the LCM of 999, 957, 362, 605, 592?
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, 957, 362, 605, 592.
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}.