Given numbers are 327,351,321,507

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

The LCM of 327,351,321,507 is 53218269.

Find LCM of 327,351,321,507 with Prime Factorization

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

3 x 13 x 109 x 9 x 107 x 13 = 53218269

Therefore, the lowest common multiple of 327,351,321,507 is 53218269.

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.

327 x 351 x 321 x 507 = 18679612419

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.

327 : 1, 3, 109, 327

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

321 : 1, 3, 107, 321

507 : 1, 3, 13, 39, 169, 507

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,351,321,507, is 3.

Now, the common factors can be found like this.

327:3x 109

351:3x 3x 3x 13

321:3x 107

507:3x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 18679612419/(3x117)

LCM = 18679612419/351

LCM = 53218269

Thus, we can understand that the LCM of 327,351,321,507 is 53218269.

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

• LCM of 142, 710, 174, 644
• LCM of 738, 149, 779, 371
• LCM of 422, 973, 809, 373
• LCM of 309, 608, 291, 351
• LCM of 225, 349, 223, 698

1. What is the LCM of 327, 351, 321, 507?

Answer: LCM of 327, 351, 321, 507 is 53218269.

2. How to calculate the LCM of 327, 351, 321, 507?

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 327, 351, 321, 507.

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}.