Given numbers are 446,289,792,690

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

The LCM of 446,289,792,690 is 5869832760.

Find LCM of 446,289,792,690 with Prime Factorization

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

2 x 3 x 223 x 289 x 132 x 115 = 5869832760

Therefore, the lowest common multiple of 446,289,792,690 is 5869832760.

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.

446 x 289 x 792 x 690 = 70437993120

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.

446 : 1, 2, 223, 446

289 : 1, 17, 289

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,289,792,690, is 1.

Now, the common factors can be found like this.

446:2x 223

289:17x 17

792:2x 2x 2x 3x 3x 11

690:2x 3x 5x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 70437993120/(1x12)

LCM = 70437993120/12

LCM = 5869832760

Thus, we can understand that the LCM of 446,289,792,690 is 5869832760.

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

• LCM of 688, 903, 305, 657
• LCM of 325, 380, 128, 256
• LCM of 469, 459, 963, 602
• LCM of 378, 966, 280, 299
• LCM of 114, 796, 677, 971

1. What is the LCM of 446, 289, 792, 690?

Answer: LCM of 446, 289, 792, 690 is 5869832760.

2. How to calculate the LCM of 446, 289, 792, 690?

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 446, 289, 792, 690.

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}.