Find the LCM of 357, 387, 904, 742, 808 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 357, 387, 904, 742, 808. So, keep reading to learn more.
Given numbers are 357,387,904,742,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,387,904,742,808 is 222855624936.
Find LCM of 357,387,904,742,808 with Prime Factorization
2 | 357, 387, 904, 742, 808 |
2 | 357, 387, 452, 371, 404 |
2 | 357, 387, 226, 371, 202 |
3 | 357, 387, 113, 371, 101 |
7 | 119, 129, 113, 371, 101 |
17, 129, 113, 53, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 129 x 113 x 53 x 101 = 222855624936
Therefore, the lowest common multiple of 357,387,904,742,808 is 222855624936.
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.
357 x 387 x 904 x 742 x 808 = 74879489978496
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
387 : 1, 3, 9, 43, 129, 387
904 : 1, 2, 4, 8, 113, 226, 452, 904
742 : 1, 2, 7, 14, 53, 106, 371, 742
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,387,904,742,808, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
387:3x 3x 43
904:2x 2x 2x 113
742:2x 7x 53
808:2x 2x 2x 101
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 74879489978496/(1x336)
LCM = 74879489978496/336
LCM = 222855624936
Thus, we can understand that the LCM of 357,387,904,742,808 is 222855624936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 387, 904, 742, 808?
Answer: LCM of 357, 387, 904, 742, 808 is 222855624936.
2. How to calculate the LCM of 357, 387, 904, 742, 808?
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 357, 387, 904, 742, 808.
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}.