Find the LCM of 349, 704, 782, 558, 459 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 349, 704, 782, 558, 459. So, keep reading to learn more.
Given numbers are 349,704,782,558,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,704,782,558,459 is 80408192832.
Find LCM of 349,704,782,558,459 with Prime Factorization
2 | 349, 704, 782, 558, 459 |
3 | 349, 352, 391, 279, 459 |
3 | 349, 352, 391, 93, 153 |
17 | 349, 352, 391, 31, 51 |
349, 352, 23, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 349 x 352 x 23 x 31 x 3 = 80408192832
Therefore, the lowest common multiple of 349,704,782,558,459 is 80408192832.
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.
349 x 704 x 782 x 558 x 459 = 49209814013184
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.
349 : 1, 349
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
782 : 1, 2, 17, 23, 34, 46, 391, 782
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,704,782,558,459, is 1.
Now, the common factors can be found like this.
349:349
704:2x 2x 2x 2x 2x 2x 11
782:2x 17x 23
558:2x 3x 3x 31
459:3x 3x 3x 17
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 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 49209814013184/(1x612)
LCM = 49209814013184/612
LCM = 80408192832
Thus, we can understand that the LCM of 349,704,782,558,459 is 80408192832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 349, 704, 782, 558, 459?
Answer: LCM of 349, 704, 782, 558, 459 is 80408192832.
2. How to calculate the LCM of 349, 704, 782, 558, 459?
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 349, 704, 782, 558, 459.
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}.