Given numbers are 460,317,612,716

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

The LCM of 460,317,612,716 is 3993572340.

Find LCM of 460,317,612,716 with Prime Factorization

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

2 x 2 x 115 x 317 x 153 x 179 = 3993572340

Therefore, the lowest common multiple of 460,317,612,716 is 3993572340.

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 317 x 612 x 716 = 63897157440

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

317 : 1, 317

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,317,612,716, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

317:317

612:2x 2x 3x 3x 17

716:2x 2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 63897157440/(1x16)

LCM = 63897157440/16

LCM = 3993572340

Thus, we can understand that the LCM of 460,317,612,716 is 3993572340.

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

• LCM of 123, 264, 742, 161
• LCM of 588, 418, 401, 908
• LCM of 236, 815, 248, 512
• LCM of 281, 749, 391, 926
• LCM of 378, 193, 471, 797

1. What is the LCM of 460, 317, 612, 716?

Answer: LCM of 460, 317, 612, 716 is 3993572340.

2. How to calculate the LCM of 460, 317, 612, 716?

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, 317, 612, 716.

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}.