Given numbers are 407,360,734,966

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

The LCM of 407,360,734,966 is 8657427240.

Find LCM of 407,360,734,966 with Prime Factorization

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

2 x 3 x 407 x 60 x 367 x 161 = 8657427240

Therefore, the lowest common multiple of 407,360,734,966 is 8657427240.

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.

407 x 360 x 734 x 966 = 103889126880

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.

407 : 1, 11, 37, 407

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

734 : 1, 2, 367, 734

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 407,360,734,966, is 1.

Now, the common factors can be found like this.

407:11x 37

360:2x 2x 2x 3x 3x 5

734:2x 367

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 103889126880/(1x12)

LCM = 103889126880/12

LCM = 8657427240

Thus, we can understand that the LCM of 407,360,734,966 is 8657427240.

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

• LCM of 341, 382, 497, 409
• LCM of 570, 894, 663, 994
• LCM of 441, 273, 691, 260
• LCM of 476, 525, 636, 587
• LCM of 695, 975, 231, 910

1. What is the LCM of 407, 360, 734, 966?

Answer: LCM of 407, 360, 734, 966 is 8657427240.

2. How to calculate the LCM of 407, 360, 734, 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 407, 360, 734, 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}.