Given numbers are 465,660,288,766

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

The LCM of 465,660,288,766 is 188068320.

Find LCM of 465,660,288,766 with Prime Factorization

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

2 x 2 x 3 x 5 x 31 x 11 x 24 x 383 = 188068320

Therefore, the lowest common multiple of 465,660,288,766 is 188068320.

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.

465 x 660 x 288 x 766 = 67704595200

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,660,288,766, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

660:2x 2x 3x 5x 11

288:2x 2x 2x 2x 2x 3x 3

766:2x 383

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 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 67704595200/(1x360)

LCM = 67704595200/360

LCM = 188068320

Thus, we can understand that the LCM of 465,660,288,766 is 188068320.

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

• LCM of 877, 673, 803, 101
• LCM of 891, 469, 362, 164
• LCM of 997, 370, 518, 877
• LCM of 139, 311, 142, 180
• LCM of 387, 311, 778, 172

1. What is the LCM of 465, 660, 288, 766?

Answer: LCM of 465, 660, 288, 766 is 188068320.

2. How to calculate the LCM of 465, 660, 288, 766?

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 465, 660, 288, 766.

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}.