Given numbers are 689,407,462

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

The LCM of 689,407,462 is 11777766.

Find LCM of 689,407,462 with Prime Factorization

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

11 x 689 x 37 x 42 = 11777766

Therefore, the lowest common multiple of 689,407,462 is 11777766.

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 407 x 462 = 129555426

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

407 : 1, 11, 37, 407

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,407,462, is 1.

Now, the common factors can be found like this.

689:13x 53

407:11x 37

462:2x 3x 7x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 129555426/(1x11)

LCM = 129555426/11

LCM = 11777766

Thus, we can understand that the LCM of 689,407,462 is 11777766.

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

• LCM of 901, 848, 794
• LCM of 679, 452, 191
• LCM of 858, 439, 123
• LCM of 994, 723, 176
• LCM of 489, 700, 833

1. What is the LCM of 689, 407, 462?

Answer: LCM of 689, 407, 462 is 11777766.

2. How to calculate the LCM of 689, 407, 462?

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, 407, 462.

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}.