Given numbers are 450,740,758,566

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

The LCM of 450,740,758,566 is 3571658100.

Find LCM of 450,740,758,566 with Prime Factorization

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

2 x 5 x 45 x 74 x 379 x 283 = 3571658100

Therefore, the lowest common multiple of 450,740,758,566 is 3571658100.

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 740 x 758 x 566 = 142866324000

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

758 : 1, 2, 379, 758

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,740,758,566, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

740:2x 2x 5x 37

758:2x 379

566:2x 283

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 5 = 20

Therefore, the value for common factors is 20.

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 = 142866324000/(2x20)

LCM = 142866324000/40

LCM = 3571658100

Thus, we can understand that the LCM of 450,740,758,566 is 3571658100.

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

• LCM of 710, 438, 825, 839
• LCM of 986, 972, 812, 869
• LCM of 496, 141, 669, 918
• LCM of 935, 673, 447, 401
• LCM of 772, 414, 146, 156

1. What is the LCM of 450, 740, 758, 566?

Answer: LCM of 450, 740, 758, 566 is 3571658100.

2. How to calculate the LCM of 450, 740, 758, 566?

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, 740, 758, 566.

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}.