Given numbers are 442,464,658,720

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

The LCM of 442,464,658,720 is 1518163920.

Find LCM of 442,464,658,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 221 x 29 x 329 x 45 = 1518163920

Therefore, the lowest common multiple of 442,464,658,720 is 1518163920.

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.

442 x 464 x 658 x 720 = 97162490880

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.

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

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,464,658,720, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

464:2x 2x 2x 2x 29

658:2x 7x 47

720:2x 2x 2x 2x 3x 3x 5

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 = 97162490880/(2x32)

LCM = 97162490880/64

LCM = 1518163920

Thus, we can understand that the LCM of 442,464,658,720 is 1518163920.

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

• LCM of 550, 462, 851, 871
• LCM of 263, 997, 283, 231
• LCM of 480, 766, 859, 321
• LCM of 283, 959, 139, 384
• LCM of 196, 709, 325, 326

1. What is the LCM of 442, 464, 658, 720?

Answer: LCM of 442, 464, 658, 720 is 1518163920.

2. How to calculate the LCM of 442, 464, 658, 720?

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 442, 464, 658, 720.

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}.