Given numbers are 416,260,107,436

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

The LCM of 416,260,107,436 is 24259040.

Find LCM of 416,260,107,436 with Prime Factorization

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

2 x 2 x 13 x 8 x 5 x 107 x 109 = 24259040

Therefore, the lowest common multiple of 416,260,107,436 is 24259040.

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.

416 x 260 x 107 x 436 = 5045880320

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

107 : 1, 107

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,260,107,436, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

260:2x 2x 5x 13

107:107

436:2x 2x 109

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 13 = 208

Therefore, the value for common factors is 208.

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 = 5045880320/(1x208)

LCM = 5045880320/208

LCM = 24259040

Thus, we can understand that the LCM of 416,260,107,436 is 24259040.

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

• LCM of 532, 349, 816, 644
• LCM of 959, 441, 206, 892
• LCM of 935, 590, 723, 414
• LCM of 315, 371, 574, 370
• LCM of 147, 904, 502, 555

1. What is the LCM of 416, 260, 107, 436?

Answer: LCM of 416, 260, 107, 436 is 24259040.

2. How to calculate the LCM of 416, 260, 107, 436?

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 416, 260, 107, 436.

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}.