Given numbers are 460,446,906

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

The LCM of 460,446,906 is 46468740.

Find LCM of 460,446,906 with Prime Factorization

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

2 x 230 x 223 x 453 = 46468740

Therefore, the lowest common multiple of 460,446,906 is 46468740.

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 446 x 906 = 185874960

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

446 : 1, 2, 223, 446

906 : 1, 2, 3, 6, 151, 302, 453, 906

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,446,906, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

446:2x 223

906:2x 3x 151

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 = 185874960/(2x2)

LCM = 185874960/4

LCM = 46468740

Thus, we can understand that the LCM of 460,446,906 is 46468740.

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

• LCM of 494, 391, 786
• LCM of 524, 758, 458
• LCM of 813, 146, 479
• LCM of 178, 685, 941
• LCM of 432, 779, 151

1. What is the LCM of 460, 446, 906?

Answer: LCM of 460, 446, 906 is 46468740.

2. How to calculate the LCM of 460, 446, 906?

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, 446, 906.

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}.