Given numbers are 689,385,460

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

The LCM of 689,385,460 is 24404380.

Find LCM of 689,385,460 with Prime Factorization

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

5 x 689 x 77 x 92 = 24404380

Therefore, the lowest common multiple of 689,385,460 is 24404380.

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.

689 x 385 x 460 = 122021900

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.

689 : 1, 13, 53, 689

385 : 1, 5, 7, 11, 35, 55, 77, 385

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,385,460, is 1.

Now, the common factors can be found like this.

689:13x 53

385:5x 7x 11

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 122021900/(1x5)

LCM = 122021900/5

LCM = 24404380

Thus, we can understand that the LCM of 689,385,460 is 24404380.

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

• LCM of 994, 806, 667
• LCM of 577, 567, 162
• LCM of 298, 742, 418
• LCM of 680, 221, 922
• LCM of 261, 939, 940

1. What is the LCM of 689, 385, 460?

Answer: LCM of 689, 385, 460 is 24404380.

2. How to calculate the LCM of 689, 385, 460?

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 689, 385, 460.

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}.