Given numbers are 132,193,345,488,900

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

The LCM of 132,193,345,488,900 is 5361424200.

Find LCM of 132,193,345,488,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 193 x 23 x 122 x 15 = 5361424200

Therefore, the lowest common multiple of 132,193,345,488,900 is 5361424200.

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.

132 x 193 x 345 x 488 x 900 = 3860225424000

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

193 : 1, 193

345 : 1, 3, 5, 15, 23, 69, 115, 345

488 : 1, 2, 4, 8, 61, 122, 244, 488

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,193,345,488,900, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

193:193

345:3x 5x 23

488:2x 2x 2x 61

900:2x 2x 3x 3x 5x 5

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 3860225424000/(1x720)

LCM = 3860225424000/720

LCM = 5361424200

Thus, we can understand that the LCM of 132,193,345,488,900 is 5361424200.

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

• LCM of 196, 323, 649, 520, 181
• LCM of 654, 572, 382, 724, 463
• LCM of 222, 264, 641, 860, 289
• LCM of 598, 388, 546, 131, 689
• LCM of 644, 355, 122, 262, 548

1. What is the LCM of 132, 193, 345, 488, 900?

Answer: LCM of 132, 193, 345, 488, 900 is 5361424200.

2. How to calculate the LCM of 132, 193, 345, 488, 900?

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 132, 193, 345, 488, 900.

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}.