Given numbers are 720,828,412,436,311

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

The LCM of 720,828,412,436,311 is 57820846320.

Find LCM of 720,828,412,436,311 with Prime Factorization

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

2 x 2 x 3 x 3 x 20 x 23 x 103 x 109 x 311 = 57820846320

Therefore, the lowest common multiple of 720,828,412,436,311 is 57820846320.

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.

720 x 828 x 412 x 436 x 311 = 33304807480320

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.

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

412 : 1, 2, 4, 103, 206, 412

436 : 1, 2, 4, 109, 218, 436

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,828,412,436,311, is 1.

Now, the common factors can be found like this.

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

828:2x 2x 3x 3x 23

412:2x 2x 103

436:2x 2x 109

311:311

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 33304807480320/(1x576)

LCM = 33304807480320/576

LCM = 57820846320

Thus, we can understand that the LCM of 720,828,412,436,311 is 57820846320.

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

• LCM of 710, 361, 286, 445, 933
• LCM of 810, 296, 538, 690, 628
• LCM of 298, 900, 534, 780, 300
• LCM of 194, 653, 673, 600, 382
• LCM of 289, 992, 803, 191, 462

1. What is the LCM of 720, 828, 412, 436, 311?

Answer: LCM of 720, 828, 412, 436, 311 is 57820846320.

2. How to calculate the LCM of 720, 828, 412, 436, 311?

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 720, 828, 412, 436, 311.

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}.