Given numbers are 294,422,484,450,537

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

The LCM of 294,422,484,450,537 is 201539160900.

Find LCM of 294,422,484,450,537 with Prime Factorization

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

2 x 3 x 49 x 211 x 242 x 75 x 179 = 201539160900

Therefore, the lowest common multiple of 294,422,484,450,537 is 201539160900.

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 422 x 484 x 450 x 537 = 14510819584800

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

422 : 1, 2, 211, 422

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,422,484,450,537, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

422:2x 211

484:2x 2x 11x 11

450:2x 3x 3x 5x 5

537:3x 179

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 14510819584800/(1x72)

LCM = 14510819584800/72

LCM = 201539160900

Thus, we can understand that the LCM of 294,422,484,450,537 is 201539160900.

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

• LCM of 820, 980, 615, 650, 177
• LCM of 766, 361, 379, 517, 683
• LCM of 295, 960, 522, 545, 631
• LCM of 478, 696, 961, 400, 329
• LCM of 354, 756, 858, 793, 672

1. What is the LCM of 294, 422, 484, 450, 537?

Answer: LCM of 294, 422, 484, 450, 537 is 201539160900.

2. How to calculate the LCM of 294, 422, 484, 450, 537?

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, 422, 484, 450, 537.

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}.