Given numbers are 229,687,382,548,508

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

The LCM of 229,687,382,548,508 is 9132178332.

Find LCM of 229,687,382,548,508 with Prime Factorization

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

2 x 2 x 229 x 1 x 3 x 191 x 137 x 127 = 9132178332

Therefore, the lowest common multiple of 229,687,382,548,508 is 9132178332.

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.

229 x 687 x 382 x 548 x 508 = 16730150704224

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.

229 : 1, 229

687 : 1, 3, 229, 687

382 : 1, 2, 191, 382

548 : 1, 2, 4, 137, 274, 548

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,687,382,548,508, is 1.

Now, the common factors can be found like this.

229:229

687:3x 229

382:2x 191

548:2x 2x 137

508:2x 2x 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 2x 229 = 1832

Therefore, the value for common factors is 1832.

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 = 16730150704224/(1x1832)

LCM = 16730150704224/1832

LCM = 9132178332

Thus, we can understand that the LCM of 229,687,382,548,508 is 9132178332.

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

• LCM of 579, 954, 192, 681, 510
• LCM of 899, 646, 643, 601, 914
• LCM of 747, 472, 870, 949, 941
• LCM of 908, 387, 212, 233, 673
• LCM of 734, 443, 941, 786, 564

1. What is the LCM of 229, 687, 382, 548, 508?

Answer: LCM of 229, 687, 382, 548, 508 is 9132178332.

2. How to calculate the LCM of 229, 687, 382, 548, 508?

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 229, 687, 382, 548, 508.

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}.