Given numbers are 514,208,460,769

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

The LCM of 514,208,460,769 is 4727381360.

Find LCM of 514,208,460,769 with Prime Factorization

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

2 x 2 x 257 x 52 x 115 x 769 = 4727381360

Therefore, the lowest common multiple of 514,208,460,769 is 4727381360.

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.

514 x 208 x 460 x 769 = 37819050880

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.

514 : 1, 2, 257, 514

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,208,460,769, is 1.

Now, the common factors can be found like this.

514:2x 257

208:2x 2x 2x 2x 13

460:2x 2x 5x 23

769:769

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 = 37819050880/(1x8)

LCM = 37819050880/8

LCM = 4727381360

Thus, we can understand that the LCM of 514,208,460,769 is 4727381360.

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

• LCM of 792, 671, 460, 638
• LCM of 118, 900, 377, 564
• LCM of 659, 994, 374, 998
• LCM of 980, 317, 571, 626
• LCM of 852, 482, 732, 758

1. What is the LCM of 514, 208, 460, 769?

Answer: LCM of 514, 208, 460, 769 is 4727381360.

2. How to calculate the LCM of 514, 208, 460, 769?

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 514, 208, 460, 769.

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}.