Given numbers are 409,135,272,328

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

The LCM of 409,135,272,328 is 615757680.

Find LCM of 409,135,272,328 with Prime Factorization

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

2 x 2 x 2 x 409 x 135 x 34 x 41 = 615757680

Therefore, the lowest common multiple of 409,135,272,328 is 615757680.

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.

409 x 135 x 272 x 328 = 4926061440

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.

409 : 1, 409

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,135,272,328, is 1.

Now, the common factors can be found like this.

409:409

135:3x 3x 3x 5

272:2x 2x 2x 2x 17

328:2x 2x 2x 41

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4926061440/(1x8)

LCM = 4926061440/8

LCM = 615757680

Thus, we can understand that the LCM of 409,135,272,328 is 615757680.

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

• LCM of 203, 525, 641, 718
• LCM of 553, 478, 973, 108
• LCM of 586, 103, 294, 433
• LCM of 129, 118, 603, 268
• LCM of 460, 553, 531, 143

1. What is the LCM of 409, 135, 272, 328?

Answer: LCM of 409, 135, 272, 328 is 615757680.

2. How to calculate the LCM of 409, 135, 272, 328?

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 409, 135, 272, 328.

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}.