Given numbers are 304,556,406,468,273

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

The LCM of 304,556,406,468,273 is 1003622256.

Find LCM of 304,556,406,468,273 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 76 x 139 x 29 x 3 x 1 = 1003622256

Therefore, the lowest common multiple of 304,556,406,468,273 is 1003622256.

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.

304 x 556 x 406 x 468 x 273 = 8767644028416

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

556 : 1, 2, 4, 139, 278, 556

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,556,406,468,273, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

556:2x 2x 139

406:2x 7x 29

468:2x 2x 3x 3x 13

273:3x 7x 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 2x 2x 2x 3x 7x 13 = 8736

Therefore, the value for common factors is 8736.

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 = 8767644028416/(1x8736)

LCM = 8767644028416/8736

LCM = 1003622256

Thus, we can understand that the LCM of 304,556,406,468,273 is 1003622256.

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

• LCM of 520, 454, 941, 734, 871
• LCM of 443, 845, 126, 947, 625
• LCM of 340, 323, 199, 767, 590
• LCM of 590, 224, 270, 946, 283
• LCM of 185, 427, 185, 842, 768

1. What is the LCM of 304, 556, 406, 468, 273?

Answer: LCM of 304, 556, 406, 468, 273 is 1003622256.

2. How to calculate the LCM of 304, 556, 406, 468, 273?

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 304, 556, 406, 468, 273.

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}.