Given numbers are 412,792,680,860,968

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

The LCM of 412,792,680,860,968 is 3279763080.

Find LCM of 412,792,680,860,968 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 103 x 9 x 17 x 43 x 11 = 3279763080

Therefore, the lowest common multiple of 412,792,680,860,968 is 3279763080.

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.

412 x 792 x 680 x 860 x 968 = 184716256665600

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.

412 : 1, 2, 4, 103, 206, 412

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

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,792,680,860,968, is 4.

Now, the common factors can be found like this.

412:2x 2x 103

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

680:2x 2x 2x 5x 17

860:2x 2x 5x 43

968:2x 2x 2x 11x 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 2x 2x 2x 2x 2x 5x 11 = 14080

Therefore, the value for common factors is 14080.

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 = 184716256665600/(4x14080)

LCM = 184716256665600/56320

LCM = 3279763080

Thus, we can understand that the LCM of 412,792,680,860,968 is 3279763080.

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

• LCM of 168, 562, 560, 573, 459
• LCM of 442, 178, 714, 530, 985
• LCM of 975, 692, 591, 832, 555
• LCM of 747, 952, 214, 866, 956
• LCM of 899, 231, 321, 787, 576

1. What is the LCM of 412, 792, 680, 860, 968?

Answer: LCM of 412, 792, 680, 860, 968 is 3279763080.

2. How to calculate the LCM of 412, 792, 680, 860, 968?

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 412, 792, 680, 860, 968.

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}.