Given numbers are 343,406,860,704,257

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 343,406,860,704,257 is 386933525440.

Find LCM of 343,406,860,704,257 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 49 x 29 x 215 x 176 x 257 = 386933525440

Therefore, the lowest common multiple of 343,406,860,704,257 is 386933525440.

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.

343 x 406 x 860 x 704 x 257 = 21668277424640

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.

343 : 1, 7, 49, 343

406 : 1, 2, 7, 14, 29, 58, 203, 406

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,406,860,704,257, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

406:2x 7x 29

860:2x 2x 5x 43

704:2x 2x 2x 2x 2x 2x 11

257:257

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 7 = 56

Therefore, the value for common factors is 56.

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 = 21668277424640/(1x56)

LCM = 21668277424640/56

LCM = 386933525440

Thus, we can understand that the LCM of 343,406,860,704,257 is 386933525440.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 903, 880, 452, 600, 848
• LCM of 394, 643, 453, 983, 500
• LCM of 267, 752, 156, 853, 670
• LCM of 723, 294, 583, 889, 315
• LCM of 542, 668, 877, 298, 602

1. What is the LCM of 343, 406, 860, 704, 257?

Answer: LCM of 343, 406, 860, 704, 257 is 386933525440.

2. How to calculate the LCM of 343, 406, 860, 704, 257?

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 343, 406, 860, 704, 257.

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}.