Given numbers are 683,274,828,689,660

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

The LCM of 683,274,828,689,660 is 2935982881260.

Find LCM of 683,274,828,689,660 with Prime Factorization

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

2 x 2 x 3 x 683 x 137 x 69 x 689 x 55 = 2935982881260

Therefore, the lowest common multiple of 683,274,828,689,660 is 2935982881260.

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.

683 x 274 x 828 x 689 x 660 = 70463589150240

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.

683 : 1, 683

274 : 1, 2, 137, 274

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

689 : 1, 13, 53, 689

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,274,828,689,660, is 1.

Now, the common factors can be found like this.

683:683

274:2x 137

828:2x 2x 3x 3x 23

689:13x 53

660:2x 2x 3x 5x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 70463589150240/(1x24)

LCM = 70463589150240/24

LCM = 2935982881260

Thus, we can understand that the LCM of 683,274,828,689,660 is 2935982881260.

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

• LCM of 605, 504, 851, 646, 552
• LCM of 216, 153, 786, 504, 722
• LCM of 686, 760, 777, 153, 552
• LCM of 970, 811, 552, 482, 770
• LCM of 875, 567, 501, 853, 461

1. What is the LCM of 683, 274, 828, 689, 660?

Answer: LCM of 683, 274, 828, 689, 660 is 2935982881260.

2. How to calculate the LCM of 683, 274, 828, 689, 660?

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 683, 274, 828, 689, 660.

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}.