Given numbers are 338,478,507,368

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

The LCM of 338,478,507,368 is 44591664.

Find LCM of 338,478,507,368 with Prime Factorization

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

2 x 13 x 13 x 1 x 239 x 3 x 184 = 44591664

Therefore, the lowest common multiple of 338,478,507,368 is 44591664.

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 478 x 507 x 368 = 30143964864

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

478 : 1, 2, 239, 478

507 : 1, 3, 13, 39, 169, 507

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,478,507,368, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

478:2x 239

507:3x 13x 13

368:2x 2x 2x 2x 23

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 30143964864/(1x676)

LCM = 30143964864/676

LCM = 44591664

Thus, we can understand that the LCM of 338,478,507,368 is 44591664.

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

• LCM of 798, 827, 391, 768
• LCM of 478, 499, 103, 525
• LCM of 576, 732, 609, 649
• LCM of 117, 867, 710, 516
• LCM of 683, 780, 441, 183

1. What is the LCM of 338, 478, 507, 368?

Answer: LCM of 338, 478, 507, 368 is 44591664.

2. How to calculate the LCM of 338, 478, 507, 368?

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, 478, 507, 368.

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}.