LCM of 608, 432, 814, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 608, 432, 814, 992 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 608, 432, 814, 992. So, keep reading to learn more.
Given numbers are 608,432,814,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,432,814,992 is 207120672.
Find LCM of 608,432,814,992 with Prime Factorization
| 2 | 608, 432, 814, 992 |
| 2 | 304, 216, 407, 496 |
| 2 | 152, 108, 407, 248 |
| 2 | 76, 54, 407, 124 |
| 2 | 38, 27, 407, 62 |
| 19, 27, 407, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 19 x 27 x 407 x 31 = 207120672
Therefore, the lowest common multiple of 608,432,814,992 is 207120672.
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.
608 x 432 x 814 x 992 = 212091568128
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
814 : 1, 2, 11, 22, 37, 74, 407, 814
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,432,814,992, is 2.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
432:2x 2x 2x 2x 3x 3x 3
814:2x 11x 37
992:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 212091568128/(2x512)
LCM = 212091568128/1024
LCM = 207120672
Thus, we can understand that the LCM of 608,432,814,992 is 207120672.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 608, 432, 814, 992
1. What is the LCM of 608, 432, 814, 992?
Answer: LCM of 608, 432, 814, 992 is 207120672.
2. How to calculate the LCM of 608, 432, 814, 992?
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 608, 432, 814, 992.
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}.