Given numbers are 450,493,319

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

The LCM of 450,493,319 is 2440350.

Find LCM of 450,493,319 with Prime Factorization

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

29 x 450 x 17 x 11 = 2440350

Therefore, the lowest common multiple of 450,493,319 is 2440350.

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 493 x 319 = 70770150

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

493 : 1, 17, 29, 493

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,493,319, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

493:17x 29

319:11x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 70770150/(1x29)

LCM = 70770150/29

LCM = 2440350

Thus, we can understand that the LCM of 450,493,319 is 2440350.

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

• LCM of 595, 432, 457
• LCM of 369, 376, 301
• LCM of 318, 839, 119
• LCM of 612, 779, 487
• LCM of 957, 925, 733

1. What is the LCM of 450, 493, 319?

Answer: LCM of 450, 493, 319 is 2440350.

2. How to calculate the LCM of 450, 493, 319?

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, 493, 319.

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}.