Given numbers are 660,312,381,627

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

The LCM of 660,312,381,627 is 41407080.

Find LCM of 660,312,381,627 with Prime Factorization

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

2 x 2 x 3 x 11 x 5 x 26 x 127 x 19 = 41407080

Therefore, the lowest common multiple of 660,312,381,627 is 41407080.

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.

660 x 312 x 381 x 627 = 49191611040

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

381 : 1, 3, 127, 381

627 : 1, 3, 11, 19, 33, 57, 209, 627

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,312,381,627, is 3.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

312:2x 2x 2x 3x 13

381:3x 127

627:3x 11x 19

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 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 49191611040/(3x396)

LCM = 49191611040/1188

LCM = 41407080

Thus, we can understand that the LCM of 660,312,381,627 is 41407080.

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

• LCM of 800, 146, 911, 107
• LCM of 942, 623, 159, 752
• LCM of 259, 537, 288, 820
• LCM of 367, 704, 405, 527
• LCM of 494, 806, 126, 898

1. What is the LCM of 660, 312, 381, 627?

Answer: LCM of 660, 312, 381, 627 is 41407080.

2. How to calculate the LCM of 660, 312, 381, 627?

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 660, 312, 381, 627.

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}.