Given numbers are 444,540,566,416,492

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

The LCM of 444,540,566,416,492 is 24110105760.

Find LCM of 444,540,566,416,492 with Prime Factorization

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

2 x 2 x 3 x 37 x 45 x 283 x 104 x 41 = 24110105760

Therefore, the lowest common multiple of 444,540,566,416,492 is 24110105760.

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.

444 x 540 x 566 x 416 x 492 = 27774841835520

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

566 : 1, 2, 283, 566

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,540,566,416,492, is 2.

Now, the common factors can be found like this.

444:2x 2x 3x 37

540:2x 2x 3x 3x 3x 5

566:2x 283

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

492:2x 2x 3x 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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 27774841835520/(2x576)

LCM = 27774841835520/1152

LCM = 24110105760

Thus, we can understand that the LCM of 444,540,566,416,492 is 24110105760.

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

• LCM of 488, 819, 950, 339, 943
• LCM of 251, 510, 447, 211, 146
• LCM of 518, 379, 328, 902, 724
• LCM of 919, 400, 702, 910, 986
• LCM of 943, 976, 328, 903, 873

1. What is the LCM of 444, 540, 566, 416, 492?

Answer: LCM of 444, 540, 566, 416, 492 is 24110105760.

2. How to calculate the LCM of 444, 540, 566, 416, 492?

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 444, 540, 566, 416, 492.

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}.