Given numbers are 342,281,338,478,305

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

The LCM of 342,281,338,478,305 is 1183905044010.

Find LCM of 342,281,338,478,305 with Prime Factorization

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

2 x 171 x 281 x 169 x 239 x 305 = 1183905044010

Therefore, the lowest common multiple of 342,281,338,478,305 is 1183905044010.

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.

342 x 281 x 338 x 478 x 305 = 4735620176040

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

281 : 1, 281

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

478 : 1, 2, 239, 478

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,281,338,478,305, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

281:281

338:2x 13x 13

478:2x 239

305:5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 4735620176040/(1x4)

LCM = 4735620176040/4

LCM = 1183905044010

Thus, we can understand that the LCM of 342,281,338,478,305 is 1183905044010.

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

• LCM of 439, 520, 935, 184, 350
• LCM of 892, 881, 254, 999, 249
• LCM of 750, 241, 945, 514, 584
• LCM of 836, 605, 921, 189, 597
• LCM of 649, 839, 228, 952, 936

1. What is the LCM of 342, 281, 338, 478, 305?

Answer: LCM of 342, 281, 338, 478, 305 is 1183905044010.

2. How to calculate the LCM of 342, 281, 338, 478, 305?

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 342, 281, 338, 478, 305.

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}.