Given numbers are 297,420,447,323,909

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

The LCM of 297,420,447,323,909 is 202113186660.

Find LCM of 297,420,447,323,909 with Prime Factorization

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

3 x 3 x 33 x 140 x 149 x 323 x 101 = 202113186660

Therefore, the lowest common multiple of 297,420,447,323,909 is 202113186660.

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.

297 x 420 x 447 x 323 x 909 = 16371168119460

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

447 : 1, 3, 149, 447

323 : 1, 17, 19, 323

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,420,447,323,909, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

420:2x 2x 3x 5x 7

447:3x 149

323:17x 19

909:3x 3x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 16371168119460/(1x81)

LCM = 16371168119460/81

LCM = 202113186660

Thus, we can understand that the LCM of 297,420,447,323,909 is 202113186660.

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

• LCM of 995, 754, 801, 115, 193
• LCM of 345, 710, 120, 547, 931
• LCM of 123, 284, 483, 316, 598
• LCM of 338, 525, 155, 978, 366
• LCM of 592, 105, 357, 717, 322

1. What is the LCM of 297, 420, 447, 323, 909?

Answer: LCM of 297, 420, 447, 323, 909 is 202113186660.

2. How to calculate the LCM of 297, 420, 447, 323, 909?

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 297, 420, 447, 323, 909.

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}.