Given numbers are 690,993,489,840,680

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

The LCM of 690,993,489,840,680 is 17720323320.

Find LCM of 690,993,489,840,680 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 331 x 163 x 7 x 17 = 17720323320

Therefore, the lowest common multiple of 690,993,489,840,680 is 17720323320.

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.

690 x 993 x 489 x 840 x 680 = 191379491856000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

993 : 1, 3, 331, 993

489 : 1, 3, 163, 489

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,993,489,840,680, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

993:3x 331

489:3x 163

840:2x 2x 2x 3x 5x 7

680:2x 2x 2x 5x 17

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 2x 2x 3x 3x 3x 5x 5 = 10800

Therefore, the value for common factors is 10800.

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 = 191379491856000/(1x10800)

LCM = 191379491856000/10800

LCM = 17720323320

Thus, we can understand that the LCM of 690,993,489,840,680 is 17720323320.

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

• LCM of 317, 979, 782, 514, 828
• LCM of 996, 830, 237, 816, 540
• LCM of 954, 173, 984, 639, 341
• LCM of 549, 785, 284, 285, 835
• LCM of 861, 512, 209, 912, 667

1. What is the LCM of 690, 993, 489, 840, 680?

Answer: LCM of 690, 993, 489, 840, 680 is 17720323320.

2. How to calculate the LCM of 690, 993, 489, 840, 680?

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 690, 993, 489, 840, 680.

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}.