Given numbers are 450,855,920,486,109

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

The LCM of 450,855,920,486,109 is 2314963800.

Find LCM of 450,855,920,486,109 with Prime Factorization

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

2 x 3 x 3 x 5 x 5 x 19 x 92 x 27 x 109 = 2314963800

Therefore, the lowest common multiple of 450,855,920,486,109 is 2314963800.

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 855 x 920 x 486 x 109 = 18751206780000

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

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,855,920,486,109, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

855:3x 3x 5x 19

920:2x 2x 2x 5x 23

486:2x 3x 3x 3x 3x 3

109:109

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 3x 3x 3x 3x 5x 5 = 8100

Therefore, the value for common factors is 8100.

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 = 18751206780000/(1x8100)

LCM = 18751206780000/8100

LCM = 2314963800

Thus, we can understand that the LCM of 450,855,920,486,109 is 2314963800.

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

• LCM of 560, 568, 871, 892, 300
• LCM of 815, 123, 321, 981, 105
• LCM of 483, 360, 740, 243, 275
• LCM of 610, 798, 665, 433, 735
• LCM of 774, 886, 913, 969, 668

1. What is the LCM of 450, 855, 920, 486, 109?

Answer: LCM of 450, 855, 920, 486, 109 is 2314963800.

2. How to calculate the LCM of 450, 855, 920, 486, 109?

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, 855, 920, 486, 109.

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}.