Given numbers are 394,296,406,348

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

The LCM of 394,296,406,348 is 35512008.

Find LCM of 394,296,406,348 with Prime Factorization

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

2 x 2 x 29 x 197 x 74 x 7 x 3 = 35512008

Therefore, the lowest common multiple of 394,296,406,348 is 35512008.

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.

394 x 296 x 406 x 348 = 16477571712

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.

394 : 1, 2, 197, 394

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,296,406,348, is 2.

Now, the common factors can be found like this.

394:2x 197

296:2x 2x 2x 37

406:2x 7x 29

348:2x 2x 3x 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 2x 29 = 232

Therefore, the value for common factors is 232.

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 = 16477571712/(2x232)

LCM = 16477571712/464

LCM = 35512008

Thus, we can understand that the LCM of 394,296,406,348 is 35512008.

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

• LCM of 396, 412, 898, 644
• LCM of 483, 425, 996, 288
• LCM of 834, 241, 719, 697
• LCM of 939, 902, 715, 154
• LCM of 978, 764, 948, 303

1. What is the LCM of 394, 296, 406, 348?

Answer: LCM of 394, 296, 406, 348 is 35512008.

2. How to calculate the LCM of 394, 296, 406, 348?

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 394, 296, 406, 348.

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}.