Given numbers are 478,202,684,311,338

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

The LCM of 478,202,684,311,338 is 867805643484.

Find LCM of 478,202,684,311,338 with Prime Factorization

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

2 x 239 x 101 x 342 x 311 x 169 = 867805643484

Therefore, the lowest common multiple of 478,202,684,311,338 is 867805643484.

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.

478 x 202 x 684 x 311 x 338 = 6942445147872

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.

478 : 1, 2, 239, 478

202 : 1, 2, 101, 202

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

311 : 1, 311

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,202,684,311,338, is 1.

Now, the common factors can be found like this.

478:2x 239

202:2x 101

684:2x 2x 3x 3x 19

311:311

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6942445147872/(1x8)

LCM = 6942445147872/8

LCM = 867805643484

Thus, we can understand that the LCM of 478,202,684,311,338 is 867805643484.

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

• LCM of 265, 708, 705, 818, 502
• LCM of 458, 649, 908, 758, 349
• LCM of 413, 470, 894, 156, 875
• LCM of 503, 665, 849, 444, 151
• LCM of 309, 407, 260, 552, 812

1. What is the LCM of 478, 202, 684, 311, 338?

Answer: LCM of 478, 202, 684, 311, 338 is 867805643484.

2. How to calculate the LCM of 478, 202, 684, 311, 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 478, 202, 684, 311, 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}.