Given numbers are 338,354,502,504

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

The LCM of 338,354,502,504 is 1261371384.

Find LCM of 338,354,502,504 with Prime Factorization

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

2 x 3 x 169 x 59 x 251 x 84 = 1261371384

Therefore, the lowest common multiple of 338,354,502,504 is 1261371384.

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 354 x 502 x 504 = 30272913216

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

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

502 : 1, 2, 251, 502

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,354,502,504, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

354:2x 3x 59

502:2x 251

504:2x 2x 2x 3x 3x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 30272913216/(2x12)

LCM = 30272913216/24

LCM = 1261371384

Thus, we can understand that the LCM of 338,354,502,504 is 1261371384.

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

• LCM of 622, 597, 892, 409
• LCM of 793, 434, 896, 291
• LCM of 127, 336, 665, 885
• LCM of 307, 141, 328, 785
• LCM of 384, 159, 512, 911

1. What is the LCM of 338, 354, 502, 504?

Answer: LCM of 338, 354, 502, 504 is 1261371384.

2. How to calculate the LCM of 338, 354, 502, 504?

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, 354, 502, 504.

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}.