Given numbers are 741,414,800,822,407

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

The LCM of 741,414,800,822,407 is 2280721528800.

Find LCM of 741,414,800,822,407 with Prime Factorization

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

2 x 3 x 247 x 69 x 400 x 137 x 407 = 2280721528800

Therefore, the lowest common multiple of 741,414,800,822,407 is 2280721528800.

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.

741 x 414 x 800 x 822 x 407 = 82105975036800

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

822 : 1, 2, 3, 6, 137, 274, 411, 822

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,414,800,822,407, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

414:2x 3x 3x 23

800:2x 2x 2x 2x 2x 5x 5

822:2x 3x 137

407:11x 37

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 82105975036800/(1x36)

LCM = 82105975036800/36

LCM = 2280721528800

Thus, we can understand that the LCM of 741,414,800,822,407 is 2280721528800.

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

• LCM of 960, 938, 485, 928, 427
• LCM of 196, 539, 817, 271, 593
• LCM of 189, 254, 109, 218, 700
• LCM of 338, 327, 540, 215, 581
• LCM of 631, 905, 719, 720, 162

1. What is the LCM of 741, 414, 800, 822, 407?

Answer: LCM of 741, 414, 800, 822, 407 is 2280721528800.

2. How to calculate the LCM of 741, 414, 800, 822, 407?

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 741, 414, 800, 822, 407.

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}.