Given numbers are 343,407,953,544,728

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

The LCM of 343,407,953,544,728 is 940857133216.

Find LCM of 343,407,953,544,728 with Prime Factorization

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

2 x 2 x 2 x 7 x 49 x 407 x 953 x 68 x 13 = 940857133216

Therefore, the lowest common multiple of 343,407,953,544,728 is 940857133216.

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 407 x 953 x 544 x 728 = 52687999460096

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

407 : 1, 11, 37, 407

953 : 1, 953

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,407,953,544,728, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

407:11x 37

953:953

544:2x 2x 2x 2x 2x 17

728:2x 2x 2x 7x 13

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 = 52687999460096/(1x56)

LCM = 52687999460096/56

LCM = 940857133216

Thus, we can understand that the LCM of 343,407,953,544,728 is 940857133216.

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

• LCM of 332, 671, 546, 734, 297
• LCM of 859, 438, 555, 903, 106
• LCM of 274, 574, 809, 150, 333
• LCM of 298, 335, 123, 764, 220
• LCM of 758, 900, 324, 385, 614

1. What is the LCM of 343, 407, 953, 544, 728?

Answer: LCM of 343, 407, 953, 544, 728 is 940857133216.

2. How to calculate the LCM of 343, 407, 953, 544, 728?

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, 407, 953, 544, 728.

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}.