Given numbers are 464,442,704,792

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

The LCM of 464,442,704,792 is 40607424.

Find LCM of 464,442,704,792 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 29 x 221 x 4 x 9 = 40607424

Therefore, the lowest common multiple of 464,442,704,792 is 40607424.

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.

464 x 442 x 704 x 792 = 114350505984

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

442 : 1, 2, 13, 17, 26, 34, 221, 442

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,442,704,792, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

442:2x 13x 17

704:2x 2x 2x 2x 2x 2x 11

792:2x 2x 2x 3x 3x 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 2x 2x 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 114350505984/(2x1408)

LCM = 114350505984/2816

LCM = 40607424

Thus, we can understand that the LCM of 464,442,704,792 is 40607424.

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

• LCM of 434, 889, 717, 812
• LCM of 362, 783, 857, 992
• LCM of 376, 279, 445, 989
• LCM of 760, 692, 488, 956
• LCM of 802, 282, 131, 399

1. What is the LCM of 464, 442, 704, 792?

Answer: LCM of 464, 442, 704, 792 is 40607424.

2. How to calculate the LCM of 464, 442, 704, 792?

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 464, 442, 704, 792.

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}.