LCM of 398, 442, 796, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 442, 796, 768 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 398, 442, 796, 768. So, keep reading to learn more.
Given numbers are 398,442,796,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,442,796,768 is 33775872.
Find LCM of 398,442,796,768 with Prime Factorization
| 2 | 398, 442, 796, 768 |
| 2 | 199, 221, 398, 384 |
| 199 | 199, 221, 199, 192 |
| 1, 221, 1, 192 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 199 x 1 x 221 x 1 x 192 = 33775872
Therefore, the lowest common multiple of 398,442,796,768 is 33775872.
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.
398 x 442 x 796 x 768 = 107542376448
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.
398 : 1, 2, 199, 398
442 : 1, 2, 13, 17, 26, 34, 221, 442
796 : 1, 2, 4, 199, 398, 796
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,442,796,768, is 2.
Now, the common factors can be found like this.
398:2x 199
442:2x 13x 17
796:2x 2x 199
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 199 = 1592
Therefore, the value for common factors is 1592.
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 = 107542376448/(2x1592)
LCM = 107542376448/3184
LCM = 33775872
Thus, we can understand that the LCM of 398,442,796,768 is 33775872.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 398, 442, 796, 768
1. What is the LCM of 398, 442, 796, 768?
Answer: LCM of 398, 442, 796, 768 is 33775872.
2. How to calculate the LCM of 398, 442, 796, 768?
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 398, 442, 796, 768.
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}.