Given numbers are 682,792,440,343,957

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

The LCM of 682,792,440,343,957 is 1221093720.

Find LCM of 682,792,440,343,957 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 31 x 3 x 5 x 343 x 29 = 1221093720

Therefore, the lowest common multiple of 682,792,440,343,957 is 1221093720.

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.

682 x 792 x 440 x 343 x 957 = 78013235583360

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

343 : 1, 7, 49, 343

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,792,440,343,957, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

792:2x 2x 2x 3x 3x 11

440:2x 2x 2x 5x 11

343:7x 7x 7

957:3x 11x 29

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 11x 11x 11 = 63888

Therefore, the value for common factors is 63888.

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 = 78013235583360/(1x63888)

LCM = 78013235583360/63888

LCM = 1221093720

Thus, we can understand that the LCM of 682,792,440,343,957 is 1221093720.

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

• LCM of 324, 241, 992, 638, 825
• LCM of 970, 580, 398, 409, 209
• LCM of 171, 961, 903, 521, 242
• LCM of 237, 647, 516, 168, 208
• LCM of 252, 544, 375, 521, 440

1. What is the LCM of 682, 792, 440, 343, 957?

Answer: LCM of 682, 792, 440, 343, 957 is 1221093720.

2. How to calculate the LCM of 682, 792, 440, 343, 957?

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 682, 792, 440, 343, 957.

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}.