Given numbers are 351,208,328,509

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

The LCM of 351,208,328,509 is 117200304.

Find LCM of 351,208,328,509 with Prime Factorization

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

2 x 2 x 2 x 13 x 27 x 2 x 41 x 509 = 117200304

Therefore, the lowest common multiple of 351,208,328,509 is 117200304.

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.

351 x 208 x 328 x 509 = 12188831616

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

328 : 1, 2, 4, 8, 41, 82, 164, 328

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,208,328,509, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

208:2x 2x 2x 2x 13

328:2x 2x 2x 41

509:509

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 13 = 104

Therefore, the value for common factors is 104.

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 = 12188831616/(1x104)

LCM = 12188831616/104

LCM = 117200304

Thus, we can understand that the LCM of 351,208,328,509 is 117200304.

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

• LCM of 665, 919, 205, 925
• LCM of 959, 559, 177, 303
• LCM of 709, 739, 914, 998
• LCM of 313, 177, 481, 261
• LCM of 100, 260, 191, 187

1. What is the LCM of 351, 208, 328, 509?

Answer: LCM of 351, 208, 328, 509 is 117200304.

2. How to calculate the LCM of 351, 208, 328, 509?

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 351, 208, 328, 509.

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}.