Given numbers are 957,680,660,835,993

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

The LCM of 957,680,660,835,993 is 35972060520.

Find LCM of 957,680,660,835,993 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 34 x 1 x 167 x 331 = 35972060520

Therefore, the lowest common multiple of 957,680,660,835,993 is 35972060520.

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.

957 x 680 x 660 x 835 x 993 = 356123399148000

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

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

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

835 : 1, 5, 167, 835

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,680,660,835,993, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

680:2x 2x 2x 5x 17

660:2x 2x 3x 5x 11

835:5x 167

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 2x 3x 3x 5x 5x 11 = 9900

Therefore, the value for common factors is 9900.

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 = 356123399148000/(1x9900)

LCM = 356123399148000/9900

LCM = 35972060520

Thus, we can understand that the LCM of 957,680,660,835,993 is 35972060520.

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

• LCM of 427, 706, 283, 804, 831
• LCM of 442, 713, 839, 568, 767
• LCM of 142, 899, 590, 646, 437
• LCM of 848, 365, 160, 577, 366
• LCM of 543, 244, 836, 677, 169

1. What is the LCM of 957, 680, 660, 835, 993?

Answer: LCM of 957, 680, 660, 835, 993 is 35972060520.

2. How to calculate the LCM of 957, 680, 660, 835, 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 957, 680, 660, 835, 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}.