Given numbers are 299,624,159,447,462

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

The LCM of 299,624,159,447,462 is 8727006288.

Find LCM of 299,624,159,447,462 with Prime Factorization

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

2 x 3 x 13 x 23 x 8 x 53 x 149 x 77 = 8727006288

Therefore, the lowest common multiple of 299,624,159,447,462 is 8727006288.

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 624 x 159 x 447 x 462 = 6126358414176

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

159 : 1, 3, 53, 159

447 : 1, 3, 149, 447

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,624,159,447,462, is 1.

Now, the common factors can be found like this.

299:13x 23

624:2x 2x 2x 2x 3x 13

159:3x 53

447:3x 149

462:2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 6126358414176/(1x702)

LCM = 6126358414176/702

LCM = 8727006288

Thus, we can understand that the LCM of 299,624,159,447,462 is 8727006288.

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

• LCM of 784, 808, 227, 702, 323
• LCM of 452, 880, 854, 772, 260
• LCM of 699, 314, 372, 862, 347
• LCM of 360, 309, 523, 623, 761
• LCM of 222, 547, 768, 513, 535

1. What is the LCM of 299, 624, 159, 447, 462?

Answer: LCM of 299, 624, 159, 447, 462 is 8727006288.

2. How to calculate the LCM of 299, 624, 159, 447, 462?

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, 624, 159, 447, 462.

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}.