Given numbers are 304,112,742,194,590

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

The LCM of 304,112,742,194,590 is 3227314160.

Find LCM of 304,112,742,194,590 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 19 x 1 x 53 x 97 x 295 = 3227314160

Therefore, the lowest common multiple of 304,112,742,194,590 is 3227314160.

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 112 x 742 x 194 x 590 = 2891673487360

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

742 : 1, 2, 7, 14, 53, 106, 371, 742

194 : 1, 2, 97, 194

590 : 1, 2, 5, 10, 59, 118, 295, 590

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,112,742,194,590, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

112:2x 2x 2x 2x 7

742:2x 7x 53

194:2x 97

590:2x 5x 59

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 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 2891673487360/(2x448)

LCM = 2891673487360/896

LCM = 3227314160

Thus, we can understand that the LCM of 304,112,742,194,590 is 3227314160.

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

• LCM of 613, 628, 297, 958, 124
• LCM of 228, 324, 690, 618, 858
• LCM of 824, 286, 363, 493, 390
• LCM of 809, 510, 260, 995, 554
• LCM of 416, 288, 775, 763, 685

1. What is the LCM of 304, 112, 742, 194, 590?

Answer: LCM of 304, 112, 742, 194, 590 is 3227314160.

2. How to calculate the LCM of 304, 112, 742, 194, 590?

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, 112, 742, 194, 590.

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}.