Given numbers are 792,507,409,966

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

The LCM of 792,507,409,966 is 8813756952.

Find LCM of 792,507,409,966 with Prime Factorization

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

2 x 3 x 132 x 169 x 409 x 161 = 8813756952

Therefore, the lowest common multiple of 792,507,409,966 is 8813756952.

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.

792 x 507 x 409 x 966 = 158647625136

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.

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

507 : 1, 3, 13, 39, 169, 507

409 : 1, 409

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,507,409,966, is 1.

Now, the common factors can be found like this.

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

507:3x 13x 13

409:409

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 158647625136/(1x18)

LCM = 158647625136/18

LCM = 8813756952

Thus, we can understand that the LCM of 792,507,409,966 is 8813756952.

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

• LCM of 847, 408, 588, 521
• LCM of 627, 726, 792, 392
• LCM of 995, 755, 145, 773
• LCM of 735, 639, 719, 411
• LCM of 160, 179, 964, 992

1. What is the LCM of 792, 507, 409, 966?

Answer: LCM of 792, 507, 409, 966 is 8813756952.

2. How to calculate the LCM of 792, 507, 409, 966?

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 792, 507, 409, 966.

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}.