Given numbers are 364,576,772,440

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

The LCM of 364,576,772,440 is 556395840.

Find LCM of 364,576,772,440 with Prime Factorization

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

2 x 2 x 2 x 91 x 72 x 193 x 55 = 556395840

Therefore, the lowest common multiple of 364,576,772,440 is 556395840.

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.

364 x 576 x 772 x 440 = 71218667520

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

772 : 1, 2, 4, 193, 386, 772

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,576,772,440, is 4.

Now, the common factors can be found like this.

364:2x 2x 7x 13

576:2x 2x 2x 2x 2x 2x 3x 3

772:2x 2x 193

440:2x 2x 2x 5x 11

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 2 = 32

Therefore, the value for common factors is 32.

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 = 71218667520/(4x32)

LCM = 71218667520/128

LCM = 556395840

Thus, we can understand that the LCM of 364,576,772,440 is 556395840.

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

• LCM of 872, 399, 982, 862
• LCM of 791, 696, 693, 696
• LCM of 469, 683, 446, 749
• LCM of 782, 683, 184, 900
• LCM of 221, 744, 868, 853

1. What is the LCM of 364, 576, 772, 440?

Answer: LCM of 364, 576, 772, 440 is 556395840.

2. How to calculate the LCM of 364, 576, 772, 440?

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 364, 576, 772, 440.

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}.