Find the LCM of 642, 960, 999, 288, 769 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 642, 960, 999, 288, 769. So, keep reading to learn more.
Given numbers are 642,960,999,288,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,960,999,288,769 is 26304229440.
Find LCM of 642,960,999,288,769 with Prime Factorization
2 | 642, 960, 999, 288, 769 |
2 | 321, 480, 999, 144, 769 |
2 | 321, 240, 999, 72, 769 |
2 | 321, 120, 999, 36, 769 |
2 | 321, 60, 999, 18, 769 |
3 | 321, 30, 999, 9, 769 |
3 | 107, 10, 333, 3, 769 |
107, 10, 111, 1, 769 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 107 x 10 x 111 x 1 x 769 = 26304229440
Therefore, the lowest common multiple of 642,960,999,288,769 is 26304229440.
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.
642 x 960 x 999 x 288 x 769 = 136361125416960
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
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
999 : 1, 3, 9, 27, 37, 111, 333, 999
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,960,999,288,769, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
960:2x 2x 2x 2x 2x 2x 3x 5
999:3x 3x 3x 37
288:2x 2x 2x 2x 2x 3x 3
769:769
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 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 136361125416960/(1x5184)
LCM = 136361125416960/5184
LCM = 26304229440
Thus, we can understand that the LCM of 642,960,999,288,769 is 26304229440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 960, 999, 288, 769?
Answer: LCM of 642, 960, 999, 288, 769 is 26304229440.
2. How to calculate the LCM of 642, 960, 999, 288, 769?
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 642, 960, 999, 288, 769.
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}.