Given numbers are 324,630,106,406,296

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

The LCM of 324,630,106,406,296 is 1289788920.

Find LCM of 324,630,106,406,296 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 9 x 5 x 53 x 29 x 74 = 1289788920

Therefore, the lowest common multiple of 324,630,106,406,296 is 1289788920.

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.

324 x 630 x 106 x 406 x 296 = 2600214462720

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

106 : 1, 2, 53, 106

406 : 1, 2, 7, 14, 29, 58, 203, 406

296 : 1, 2, 4, 8, 37, 74, 148, 296

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,630,106,406,296, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

630:2x 3x 3x 5x 7

106:2x 53

406:2x 7x 29

296:2x 2x 2x 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 2x 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 2600214462720/(2x1008)

LCM = 2600214462720/2016

LCM = 1289788920

Thus, we can understand that the LCM of 324,630,106,406,296 is 1289788920.

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

• LCM of 986, 832, 443, 975, 748
• LCM of 822, 704, 800, 936, 789
• LCM of 932, 808, 958, 848, 218
• LCM of 343, 522, 859, 678, 367
• LCM of 567, 728, 610, 134, 379

1. What is the LCM of 324, 630, 106, 406, 296?

Answer: LCM of 324, 630, 106, 406, 296 is 1289788920.

2. How to calculate the LCM of 324, 630, 106, 406, 296?

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 324, 630, 106, 406, 296.

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}.