Given numbers are 460,351,446

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

The LCM of 460,351,446 is 36005580.

Find LCM of 460,351,446 with Prime Factorization

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

2 x 230 x 351 x 223 = 36005580

Therefore, the lowest common multiple of 460,351,446 is 36005580.

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.

460 x 351 x 446 = 72011160

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

351 : 1, 3, 9, 13, 27, 39, 117, 351

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,351,446, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

351:3x 3x 3x 13

446:2x 223

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 72011160/(1x2)

LCM = 72011160/2

LCM = 36005580

Thus, we can understand that the LCM of 460,351,446 is 36005580.

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

• LCM of 131, 985, 147
• LCM of 650, 408, 641
• LCM of 991, 614, 241
• LCM of 620, 515, 395
• LCM of 942, 982, 104

1. What is the LCM of 460, 351, 446?

Answer: LCM of 460, 351, 446 is 36005580.

2. How to calculate the LCM of 460, 351, 446?

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 460, 351, 446.

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}.