Given numbers are 450,366,786,542,406

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

The LCM of 450,366,786,542,406 is 197823997350.

Find LCM of 450,366,786,542,406 with Prime Factorization

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

2 x 3 x 75 x 61 x 131 x 271 x 203 = 197823997350

Therefore, the lowest common multiple of 450,366,786,542,406 is 197823997350.

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.

450 x 366 x 786 x 542 x 406 = 28486655618400

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.

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

786 : 1, 2, 3, 6, 131, 262, 393, 786

542 : 1, 2, 271, 542

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,366,786,542,406, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

366:2x 3x 61

786:2x 3x 131

542:2x 271

406:2x 7x 29

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 = 28486655618400/(2x72)

LCM = 28486655618400/144

LCM = 197823997350

Thus, we can understand that the LCM of 450,366,786,542,406 is 197823997350.

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

• LCM of 169, 241, 576, 475, 805
• LCM of 849, 370, 515, 464, 107
• LCM of 357, 846, 324, 252, 576
• LCM of 507, 872, 841, 600, 508
• LCM of 459, 404, 477, 548, 232

1. What is the LCM of 450, 366, 786, 542, 406?

Answer: LCM of 450, 366, 786, 542, 406 is 197823997350.

2. How to calculate the LCM of 450, 366, 786, 542, 406?

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 450, 366, 786, 542, 406.

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}.