Given numbers are 338,509,418,536

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

The LCM of 338,509,418,536 is 9636416504.

Find LCM of 338,509,418,536 with Prime Factorization

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

2 x 169 x 509 x 209 x 268 = 9636416504

Therefore, the lowest common multiple of 338,509,418,536 is 9636416504.

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.

338 x 509 x 418 x 536 = 38545666016

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.

338 : 1, 2, 13, 26, 169, 338

509 : 1, 509

418 : 1, 2, 11, 19, 22, 38, 209, 418

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,509,418,536, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

509:509

418:2x 11x 19

536:2x 2x 2x 67

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 38545666016/(1x4)

LCM = 38545666016/4

LCM = 9636416504

Thus, we can understand that the LCM of 338,509,418,536 is 9636416504.

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

• LCM of 706, 881, 440, 545
• LCM of 192, 331, 717, 489
• LCM of 795, 893, 555, 532
• LCM of 982, 422, 609, 465
• LCM of 483, 891, 477, 496

1. What is the LCM of 338, 509, 418, 536?

Answer: LCM of 338, 509, 418, 536 is 9636416504.

2. How to calculate the LCM of 338, 509, 418, 536?

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 338, 509, 418, 536.

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}.