Given numbers are 294,356,338,406

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

The LCM of 294,356,338,406 is 256479132.

Find LCM of 294,356,338,406 with Prime Factorization

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

2 x 7 x 21 x 178 x 169 x 29 = 256479132

Therefore, the lowest common multiple of 294,356,338,406 is 256479132.

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.

294 x 356 x 338 x 406 = 14362831392

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

356 : 1, 2, 4, 89, 178, 356

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,356,338,406, is 2.

Now, the common factors can be found like this.

294:2x 3x 7x 7

356:2x 2x 89

338:2x 13x 13

406:2x 7x 29

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 7 = 28

Therefore, the value for common factors is 28.

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 = 14362831392/(2x28)

LCM = 14362831392/56

LCM = 256479132

Thus, we can understand that the LCM of 294,356,338,406 is 256479132.

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

• LCM of 962, 177, 843, 956
• LCM of 108, 533, 201, 225
• LCM of 379, 962, 761, 389
• LCM of 287, 466, 231, 128
• LCM of 664, 914, 332, 590

1. What is the LCM of 294, 356, 338, 406?

Answer: LCM of 294, 356, 338, 406 is 256479132.

2. How to calculate the LCM of 294, 356, 338, 406?

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 294, 356, 338, 406.

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}.