Find the LCM of 682, 396, 377, 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 682, 396, 377, 768. So, keep reading to learn more.
Given numbers are 682,396,377,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,396,377,768 is 296195328.
Find LCM of 682,396,377,768 with Prime Factorization
2 | 682, 396, 377, 768 |
2 | 341, 198, 377, 384 |
3 | 341, 99, 377, 192 |
11 | 341, 33, 377, 64 |
31, 3, 377, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 31 x 3 x 377 x 64 = 296195328
Therefore, the lowest common multiple of 682,396,377,768 is 296195328.
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.
682 x 396 x 377 x 768 = 78195566592
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
377 : 1, 13, 29, 377
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,396,377,768, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
396:2x 2x 3x 3x 11
377:13x 29
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 78195566592/(1x264)
LCM = 78195566592/264
LCM = 296195328
Thus, we can understand that the LCM of 682,396,377,768 is 296195328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 396, 377, 768?
Answer: LCM of 682, 396, 377, 768 is 296195328.
2. How to calculate the LCM of 682, 396, 377, 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 682, 396, 377, 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}.