Given numbers are 299,528,132,412,216

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

The LCM of 299,528,132,412,216 is 146347344.

Find LCM of 299,528,132,412,216 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 299 x 2 x 1 x 103 x 9 = 146347344

Therefore, the lowest common multiple of 299,528,132,412,216 is 146347344.

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.

299 x 528 x 132 x 412 x 216 = 1854513543168

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.

299 : 1, 13, 23, 299

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

412 : 1, 2, 4, 103, 206, 412

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,528,132,412,216, is 1.

Now, the common factors can be found like this.

299:13x 23

528:2x 2x 2x 2x 3x 11

132:2x 2x 3x 11

412:2x 2x 103

216:2x 2x 2x 3x 3x 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 2x 3x 3x 11 = 12672

Therefore, the value for common factors is 12672.

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 = 1854513543168/(1x12672)

LCM = 1854513543168/12672

LCM = 146347344

Thus, we can understand that the LCM of 299,528,132,412,216 is 146347344.

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

• LCM of 693, 456, 813, 344, 551
• LCM of 559, 628, 173, 549, 102
• LCM of 863, 306, 943, 748, 548
• LCM of 958, 903, 698, 880, 248
• LCM of 333, 803, 551, 777, 323

1. What is the LCM of 299, 528, 132, 412, 216?

Answer: LCM of 299, 528, 132, 412, 216 is 146347344.

2. How to calculate the LCM of 299, 528, 132, 412, 216?

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 299, 528, 132, 412, 216.

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}.