Given numbers are 460,256,104,163,735

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

The LCM of 460,256,104,163,735 is 9170353920.

Find LCM of 460,256,104,163,735 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 32 x 13 x 163 x 147 = 9170353920

Therefore, the lowest common multiple of 460,256,104,163,735 is 9170353920.

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 256 x 104 x 163 x 735 = 1467256627200

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

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

104 : 1, 2, 4, 8, 13, 26, 52, 104

163 : 1, 163

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,256,104,163,735, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

256:2x 2x 2x 2x 2x 2x 2x 2

104:2x 2x 2x 13

163:163

735:3x 5x 7x 7

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 5 = 160

Therefore, the value for common factors is 160.

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 = 1467256627200/(1x160)

LCM = 1467256627200/160

LCM = 9170353920

Thus, we can understand that the LCM of 460,256,104,163,735 is 9170353920.

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

• LCM of 542, 611, 800, 606, 956
• LCM of 525, 590, 265, 239, 234
• LCM of 497, 841, 367, 470, 288
• LCM of 432, 143, 690, 713, 391
• LCM of 741, 459, 111, 401, 919

1. What is the LCM of 460, 256, 104, 163, 735?

Answer: LCM of 460, 256, 104, 163, 735 is 9170353920.

2. How to calculate the LCM of 460, 256, 104, 163, 735?

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, 256, 104, 163, 735.

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}.