Given numbers are 312,232,668,423,720

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

The LCM of 312,232,668,423,720 is 2130532560.

Find LCM of 312,232,668,423,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 29 x 167 x 47 x 10 = 2130532560

Therefore, the lowest common multiple of 312,232,668,423,720 is 2130532560.

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.

312 x 232 x 668 x 423 x 720 = 14726241054720

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

232 : 1, 2, 4, 8, 29, 58, 116, 232

668 : 1, 2, 4, 167, 334, 668

423 : 1, 3, 9, 47, 141, 423

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,232,668,423,720, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

232:2x 2x 2x 29

668:2x 2x 167

423:3x 3x 47

720:2x 2x 2x 2x 3x 3x 5

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 2x 2x 2x 3x 3x 3 = 6912

Therefore, the value for common factors is 6912.

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 = 14726241054720/(1x6912)

LCM = 14726241054720/6912

LCM = 2130532560

Thus, we can understand that the LCM of 312,232,668,423,720 is 2130532560.

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

• LCM of 365, 266, 287, 335, 355
• LCM of 906, 893, 165, 979, 939
• LCM of 719, 945, 662, 979, 761
• LCM of 147, 656, 444, 301, 525
• LCM of 437, 635, 216, 499, 878

1. What is the LCM of 312, 232, 668, 423, 720?

Answer: LCM of 312, 232, 668, 423, 720 is 2130532560.

2. How to calculate the LCM of 312, 232, 668, 423, 720?

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 312, 232, 668, 423, 720.

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}.