Find the LCM of 551, 693, 796, 704, 219 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 551, 693, 796, 704, 219. So, keep reading to learn more.
Given numbers are 551,693,796,704,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,693,796,704,219 is 355010128704.
Find LCM of 551,693,796,704,219 with Prime Factorization
2 | 551, 693, 796, 704, 219 |
2 | 551, 693, 398, 352, 219 |
3 | 551, 693, 199, 176, 219 |
11 | 551, 231, 199, 176, 73 |
551, 21, 199, 16, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 551 x 21 x 199 x 16 x 73 = 355010128704
Therefore, the lowest common multiple of 551,693,796,704,219 is 355010128704.
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.
551 x 693 x 796 x 704 x 219 = 46861336988928
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.
551 : 1, 19, 29, 551
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
796 : 1, 2, 4, 199, 398, 796
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,693,796,704,219, is 1.
Now, the common factors can be found like this.
551:19x 29
693:3x 3x 7x 11
796:2x 2x 199
704:2x 2x 2x 2x 2x 2x 11
219:3x 73
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 46861336988928/(1x132)
LCM = 46861336988928/132
LCM = 355010128704
Thus, we can understand that the LCM of 551,693,796,704,219 is 355010128704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 693, 796, 704, 219?
Answer: LCM of 551, 693, 796, 704, 219 is 355010128704.
2. How to calculate the LCM of 551, 693, 796, 704, 219?
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 551, 693, 796, 704, 219.
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}.