Given numbers are 689,376,414,993

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

The LCM of 689,376,414,993 is 17750288088.

Find LCM of 689,376,414,993 with Prime Factorization

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

2 x 3 x 689 x 188 x 69 x 331 = 17750288088

Therefore, the lowest common multiple of 689,376,414,993 is 17750288088.

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 376 x 414 x 993 = 106501728528

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

376 : 1, 2, 4, 8, 47, 94, 188, 376

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,376,414,993, is 1.

Now, the common factors can be found like this.

689:13x 53

376:2x 2x 2x 47

414:2x 3x 3x 23

993:3x 331

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 106501728528/(1x6)

LCM = 106501728528/6

LCM = 17750288088

Thus, we can understand that the LCM of 689,376,414,993 is 17750288088.

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

• LCM of 597, 307, 797, 557
• LCM of 333, 631, 198, 680
• LCM of 118, 923, 789, 767
• LCM of 363, 500, 231, 482
• LCM of 484, 684, 357, 941

1. What is the LCM of 689, 376, 414, 993?

Answer: LCM of 689, 376, 414, 993 is 17750288088.

2. How to calculate the LCM of 689, 376, 414, 993?

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, 376, 414, 993.

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}.