Given numbers are 298,745,135,416,449

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

The LCM of 298,745,135,416,449 is 3757160160.

Find LCM of 298,745,135,416,449 with Prime Factorization

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

2 x 5 x 149 x 1 x 1 x 27 x 208 x 449 = 3757160160

Therefore, the lowest common multiple of 298,745,135,416,449 is 3757160160.

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.

298 x 745 x 135 x 416 x 449 = 5598168638400

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.

298 : 1, 2, 149, 298

745 : 1, 5, 149, 745

135 : 1, 3, 5, 9, 15, 27, 45, 135

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,745,135,416,449, is 1.

Now, the common factors can be found like this.

298:2x 149

745:5x 149

135:3x 3x 3x 5

416:2x 2x 2x 2x 2x 13

449:449

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

2x 5x 149 = 1490

Therefore, the value for common factors is 1490.

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 = 5598168638400/(1x1490)

LCM = 5598168638400/1490

LCM = 3757160160

Thus, we can understand that the LCM of 298,745,135,416,449 is 3757160160.

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

• LCM of 584, 517, 332, 416, 255
• LCM of 769, 137, 437, 822, 340
• LCM of 319, 533, 267, 317, 264
• LCM of 270, 789, 347, 953, 665
• LCM of 618, 329, 552, 423, 235

1. What is the LCM of 298, 745, 135, 416, 449?

Answer: LCM of 298, 745, 135, 416, 449 is 3757160160.

2. How to calculate the LCM of 298, 745, 135, 416, 449?

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 298, 745, 135, 416, 449.

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}.