Given numbers are 406,150,306,547,368

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

The LCM of 406,150,306,547,368 is 156301311600.

Find LCM of 406,150,306,547,368 with Prime Factorization

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

2 x 3 x 203 x 25 x 51 x 547 x 184 = 156301311600

Therefore, the lowest common multiple of 406,150,306,547,368 is 156301311600.

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.

406 x 150 x 306 x 547 x 368 = 3751231478400

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.

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

547 : 1, 547

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,150,306,547,368, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

150:2x 3x 5x 5

306:2x 3x 3x 17

547:547

368:2x 2x 2x 2x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 3751231478400/(1x24)

LCM = 3751231478400/24

LCM = 156301311600

Thus, we can understand that the LCM of 406,150,306,547,368 is 156301311600.

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

• LCM of 288, 588, 443, 651, 562
• LCM of 992, 674, 171, 396, 342
• LCM of 386, 300, 663, 889, 353
• LCM of 110, 135, 994, 711, 463
• LCM of 131, 509, 954, 850, 356

1. What is the LCM of 406, 150, 306, 547, 368?

Answer: LCM of 406, 150, 306, 547, 368 is 156301311600.

2. How to calculate the LCM of 406, 150, 306, 547, 368?

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 406, 150, 306, 547, 368.

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}.