Given numbers are 642,450,920,732,192

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

The LCM of 642,450,920,732,192 is 2161742400.

Find LCM of 642,450,920,732,192 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 107 x 15 x 23 x 61 x 8 = 2161742400

Therefore, the lowest common multiple of 642,450,920,732,192 is 2161742400.

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.

642 x 450 x 920 x 732 x 192 = 37354908672000

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

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

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,450,920,732,192, is 2.

Now, the common factors can be found like this.

642:2x 3x 107

450:2x 3x 3x 5x 5

920:2x 2x 2x 5x 23

732:2x 2x 3x 61

192:2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 37354908672000/(2x8640)

LCM = 37354908672000/17280

LCM = 2161742400

Thus, we can understand that the LCM of 642,450,920,732,192 is 2161742400.

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

• LCM of 888, 222, 309, 270, 606
• LCM of 686, 140, 388, 645, 993
• LCM of 179, 248, 630, 283, 321
• LCM of 126, 891, 920, 941, 849
• LCM of 798, 546, 193, 204, 669

1. What is the LCM of 642, 450, 920, 732, 192?

Answer: LCM of 642, 450, 920, 732, 192 is 2161742400.

2. How to calculate the LCM of 642, 450, 920, 732, 192?

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 642, 450, 920, 732, 192.

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}.