Given numbers are 700,828,405,445,680

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

The LCM of 700,828,405,445,680 is 3946206600.

Find LCM of 700,828,405,445,680 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 35 x 23 x 9 x 89 x 34 = 3946206600

Therefore, the lowest common multiple of 700,828,405,445,680 is 3946206600.

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.

700 x 828 x 405 x 445 x 680 = 71031718800000

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

445 : 1, 5, 89, 445

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,828,405,445,680, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

828:2x 2x 3x 3x 23

405:3x 3x 3x 3x 5

445:5x 89

680:2x 2x 2x 5x 17

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 3x 3x 5x 5x 5 = 18000

Therefore, the value for common factors is 18000.

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 = 71031718800000/(1x18000)

LCM = 71031718800000/18000

LCM = 3946206600

Thus, we can understand that the LCM of 700,828,405,445,680 is 3946206600.

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

• LCM of 370, 174, 362, 540, 905
• LCM of 925, 994, 321, 317, 449
• LCM of 477, 516, 188, 459, 114
• LCM of 516, 333, 884, 365, 248
• LCM of 331, 111, 126, 769, 794

1. What is the LCM of 700, 828, 405, 445, 680?

Answer: LCM of 700, 828, 405, 445, 680 is 3946206600.

2. How to calculate the LCM of 700, 828, 405, 445, 680?

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 700, 828, 405, 445, 680.

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}.