Given numbers are 461,422,472,104,328

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

The LCM of 461,422,472,104,328 is 24471049096.

Find LCM of 461,422,472,104,328 with Prime Factorization

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

2 x 2 x 2 x 461 x 211 x 59 x 13 x 41 = 24471049096

Therefore, the lowest common multiple of 461,422,472,104,328 is 24471049096.

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.

461 x 422 x 472 x 104 x 328 = 3132294284288

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.

461 : 1, 461

422 : 1, 2, 211, 422

472 : 1, 2, 4, 8, 59, 118, 236, 472

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

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 461,422,472,104,328, is 1.

Now, the common factors can be found like this.

461:461

422:2x 211

472:2x 2x 2x 59

104:2x 2x 2x 13

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 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 3132294284288/(1x128)

LCM = 3132294284288/128

LCM = 24471049096

Thus, we can understand that the LCM of 461,422,472,104,328 is 24471049096.

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

• LCM of 448, 714, 609, 402, 876
• LCM of 319, 503, 515, 340, 378
• LCM of 389, 645, 285, 519, 123
• LCM of 400, 502, 521, 469, 130
• LCM of 566, 636, 675, 193, 380

1. What is the LCM of 461, 422, 472, 104, 328?

Answer: LCM of 461, 422, 472, 104, 328 is 24471049096.

2. How to calculate the LCM of 461, 422, 472, 104, 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 461, 422, 472, 104, 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}.