Given numbers are 946,680,307,798,525

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

The LCM of 946,680,307,798,525 is 196993242600.

Find LCM of 946,680,307,798,525 with Prime Factorization

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

2 x 3 x 5 x 7 x 473 x 68 x 307 x 19 x 5 = 196993242600

Therefore, the lowest common multiple of 946,680,307,798,525 is 196993242600.

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.

946 x 680 x 307 x 798 x 525 = 82737161892000

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

307 : 1, 307

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,680,307,798,525, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

680:2x 2x 2x 5x 17

307:307

798:2x 3x 7x 19

525:3x 5x 5x 7

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 5x 7 = 420

Therefore, the value for common factors is 420.

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 = 82737161892000/(1x420)

LCM = 82737161892000/420

LCM = 196993242600

Thus, we can understand that the LCM of 946,680,307,798,525 is 196993242600.

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

• LCM of 602, 246, 699, 206, 333
• LCM of 315, 694, 424, 743, 761
• LCM of 501, 285, 217, 409, 949
• LCM of 905, 522, 733, 573, 339
• LCM of 348, 125, 877, 865, 605

1. What is the LCM of 946, 680, 307, 798, 525?

Answer: LCM of 946, 680, 307, 798, 525 is 196993242600.

2. How to calculate the LCM of 946, 680, 307, 798, 525?

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 946, 680, 307, 798, 525.

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}.