Find the LCM of 888, 790, 377, 551, 395 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 888, 790, 377, 551, 395. So, keep reading to learn more.
Given numbers are 888,790,377,551,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,790,377,551,395 is 2512493880.
Find LCM of 888,790,377,551,395 with Prime Factorization
2 | 888, 790, 377, 551, 395 |
5 | 444, 395, 377, 551, 395 |
29 | 444, 79, 377, 551, 79 |
79 | 444, 79, 13, 19, 79 |
444, 1, 13, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 79 x 444 x 1 x 13 x 19 x 1 = 2512493880
Therefore, the lowest common multiple of 888,790,377,551,395 is 2512493880.
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.
888 x 790 x 377 x 551 x 395 = 57561234790800
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
790 : 1, 2, 5, 10, 79, 158, 395, 790
377 : 1, 13, 29, 377
551 : 1, 19, 29, 551
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,790,377,551,395, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
790:2x 5x 79
377:13x 29
551:19x 29
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 29x 79 = 22910
Therefore, the value for common factors is 22910.
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 = 57561234790800/(1x22910)
LCM = 57561234790800/22910
LCM = 2512493880
Thus, we can understand that the LCM of 888,790,377,551,395 is 2512493880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 888, 790, 377, 551, 395?
Answer: LCM of 888, 790, 377, 551, 395 is 2512493880.
2. How to calculate the LCM of 888, 790, 377, 551, 395?
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 888, 790, 377, 551, 395.
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}.