Given numbers are 284,460,694,739

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

The LCM of 284,460,694,739 is 8375101780.

Find LCM of 284,460,694,739 with Prime Factorization

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

2 x 2 x 71 x 115 x 347 x 739 = 8375101780

Therefore, the lowest common multiple of 284,460,694,739 is 8375101780.

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.

284 x 460 x 694 x 739 = 67000814240

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.

284 : 1, 2, 4, 71, 142, 284

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

694 : 1, 2, 347, 694

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,460,694,739, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

460:2x 2x 5x 23

694:2x 347

739:739

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 2 = 8

Therefore, the value for common factors is 8.

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 = 67000814240/(1x8)

LCM = 67000814240/8

LCM = 8375101780

Thus, we can understand that the LCM of 284,460,694,739 is 8375101780.

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

• LCM of 308, 926, 492, 200
• LCM of 125, 102, 246, 598
• LCM of 487, 180, 564, 916
• LCM of 927, 538, 755, 581
• LCM of 685, 178, 353, 305

1. What is the LCM of 284, 460, 694, 739?

Answer: LCM of 284, 460, 694, 739 is 8375101780.

2. How to calculate the LCM of 284, 460, 694, 739?

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 284, 460, 694, 739.

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}.