Given numbers are 996,471,450,762

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

The LCM of 996,471,450,762 is 1489443300.

Find LCM of 996,471,450,762 with Prime Factorization

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

2 x 3 x 166 x 157 x 75 x 127 = 1489443300

Therefore, the lowest common multiple of 996,471,450,762 is 1489443300.

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.

996 x 471 x 450 x 762 = 160859876400

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

471 : 1, 3, 157, 471

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,471,450,762, is 3.

Now, the common factors can be found like this.

996:2x 2x 3x 83

471:3x 157

450:2x 3x 3x 5x 5

762:2x 3x 127

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 3 = 36

Therefore, the value for common factors is 36.

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 = 160859876400/(3x36)

LCM = 160859876400/108

LCM = 1489443300

Thus, we can understand that the LCM of 996,471,450,762 is 1489443300.

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

• LCM of 703, 265, 954, 498
• LCM of 248, 763, 557, 155
• LCM of 480, 714, 280, 834
• LCM of 708, 858, 579, 462
• LCM of 426, 179, 764, 388

1. What is the LCM of 996, 471, 450, 762?

Answer: LCM of 996, 471, 450, 762 is 1489443300.

2. How to calculate the LCM of 996, 471, 450, 762?

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 996, 471, 450, 762.

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}.