Given numbers are 338,624,351,878,262

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

The LCM of 338,624,351,878,262 is 4198617072.

Find LCM of 338,624,351,878,262 with Prime Factorization

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

2 x 3 x 13 x 13 x 8 x 9 x 439 x 131 = 4198617072

Therefore, the lowest common multiple of 338,624,351,878,262 is 4198617072.

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 624 x 351 x 878 x 262 = 17029590844032

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

351 : 1, 3, 9, 13, 27, 39, 117, 351

878 : 1, 2, 439, 878

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,624,351,878,262, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

624:2x 2x 2x 2x 3x 13

351:3x 3x 3x 13

878:2x 439

262:2x 131

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 3x 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 17029590844032/(1x4056)

LCM = 17029590844032/4056

LCM = 4198617072

Thus, we can understand that the LCM of 338,624,351,878,262 is 4198617072.

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

• LCM of 613, 813, 929, 734, 962
• LCM of 949, 471, 682, 413, 812
• LCM of 320, 985, 820, 466, 189
• LCM of 854, 444, 661, 446, 616
• LCM of 348, 729, 611, 836, 507

1. What is the LCM of 338, 624, 351, 878, 262?

Answer: LCM of 338, 624, 351, 878, 262 is 4198617072.

2. How to calculate the LCM of 338, 624, 351, 878, 262?

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, 624, 351, 878, 262.

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}.