Given numbers are 309,804,794,506,214

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

The LCM of 309,804,794,506,214 is 889996049844.

Find LCM of 309,804,794,506,214 with Prime Factorization

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

2 x 3 x 103 x 134 x 397 x 253 x 107 = 889996049844

Therefore, the lowest common multiple of 309,804,794,506,214 is 889996049844.

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.

309 x 804 x 794 x 506 x 214 = 21359905196256

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.

309 : 1, 3, 103, 309

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

794 : 1, 2, 397, 794

506 : 1, 2, 11, 22, 23, 46, 253, 506

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,804,794,506,214, is 1.

Now, the common factors can be found like this.

309:3x 103

804:2x 2x 3x 67

794:2x 397

506:2x 11x 23

214:2x 107

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 = 21359905196256/(1x24)

LCM = 21359905196256/24

LCM = 889996049844

Thus, we can understand that the LCM of 309,804,794,506,214 is 889996049844.

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

• LCM of 446, 686, 743, 686, 210
• LCM of 439, 541, 573, 355, 567
• LCM of 917, 250, 318, 299, 469
• LCM of 828, 392, 291, 665, 640
• LCM of 326, 149, 822, 779, 179

1. What is the LCM of 309, 804, 794, 506, 214?

Answer: LCM of 309, 804, 794, 506, 214 is 889996049844.

2. How to calculate the LCM of 309, 804, 794, 506, 214?

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 309, 804, 794, 506, 214.

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}.