Given numbers are 304,394,114,286,802

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

The LCM of 304,394,114,286,802 is 10302472752.

Find LCM of 304,394,114,286,802 with Prime Factorization

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

2 x 19 x 8 x 197 x 3 x 143 x 401 = 10302472752

Therefore, the lowest common multiple of 304,394,114,286,802 is 10302472752.

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 394 x 114 x 286 x 802 = 3131951716608

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

394 : 1, 2, 197, 394

114 : 1, 2, 3, 6, 19, 38, 57, 114

286 : 1, 2, 11, 13, 22, 26, 143, 286

802 : 1, 2, 401, 802

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,394,114,286,802, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

394:2x 197

114:2x 3x 19

286:2x 11x 13

802:2x 401

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 19 = 152

Therefore, the value for common factors is 152.

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 = 3131951716608/(2x152)

LCM = 3131951716608/304

LCM = 10302472752

Thus, we can understand that the LCM of 304,394,114,286,802 is 10302472752.

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

• LCM of 276, 858, 531, 735, 393
• LCM of 253, 954, 549, 359, 683
• LCM of 109, 870, 632, 107, 783
• LCM of 326, 189, 102, 412, 804
• LCM of 224, 701, 173, 298, 316

1. What is the LCM of 304, 394, 114, 286, 802?

Answer: LCM of 304, 394, 114, 286, 802 is 10302472752.

2. How to calculate the LCM of 304, 394, 114, 286, 802?

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, 394, 114, 286, 802.

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}.