Given numbers are 514,916,486,354,338

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

The LCM of 514,916,486,354,338 is 570392211636.

Find LCM of 514,916,486,354,338 with Prime Factorization

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

2 x 3 x 257 x 458 x 81 x 59 x 169 = 570392211636

Therefore, the lowest common multiple of 514,916,486,354,338 is 570392211636.

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.

514 x 916 x 486 x 354 x 338 = 27378826158528

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.

514 : 1, 2, 257, 514

916 : 1, 2, 4, 229, 458, 916

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,916,486,354,338, is 2.

Now, the common factors can be found like this.

514:2x 257

916:2x 2x 229

486:2x 3x 3x 3x 3x 3

354:2x 3x 59

338:2x 13x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 27378826158528/(2x24)

LCM = 27378826158528/48

LCM = 570392211636

Thus, we can understand that the LCM of 514,916,486,354,338 is 570392211636.

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

• LCM of 384, 831, 829, 971, 521
• LCM of 609, 342, 290, 187, 498
• LCM of 645, 164, 856, 485, 474
• LCM of 586, 689, 113, 951, 975
• LCM of 476, 681, 724, 928, 345

1. What is the LCM of 514, 916, 486, 354, 338?

Answer: LCM of 514, 916, 486, 354, 338 is 570392211636.

2. How to calculate the LCM of 514, 916, 486, 354, 338?

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 514, 916, 486, 354, 338.

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}.