Given numbers are 294,816,272,330,409

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

The LCM of 294,816,272,330,409 is 899440080.

Find LCM of 294,816,272,330,409 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 49 x 1 x 1 x 55 x 409 = 899440080

Therefore, the lowest common multiple of 294,816,272,330,409 is 899440080.

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.

294 x 816 x 272 x 330 x 409 = 8807317263360

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,816,272,330,409, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

816:2x 2x 2x 2x 3x 17

272:2x 2x 2x 2x 17

330:2x 3x 5x 11

409:409

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 3x 17 = 9792

Therefore, the value for common factors is 9792.

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 = 8807317263360/(1x9792)

LCM = 8807317263360/9792

LCM = 899440080

Thus, we can understand that the LCM of 294,816,272,330,409 is 899440080.

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

• LCM of 980, 353, 156, 777, 549
• LCM of 240, 377, 866, 248, 115
• LCM of 393, 144, 452, 949, 135
• LCM of 432, 363, 888, 308, 378
• LCM of 211, 680, 121, 175, 651

1. What is the LCM of 294, 816, 272, 330, 409?

Answer: LCM of 294, 816, 272, 330, 409 is 899440080.

2. How to calculate the LCM of 294, 816, 272, 330, 409?

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 294, 816, 272, 330, 409.

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}.