Given numbers are 940,355,330,480

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

The LCM of 940,355,330,480 is 17619360.

Find LCM of 940,355,330,480 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 71 x 11 x 8 = 17619360

Therefore, the lowest common multiple of 940,355,330,480 is 17619360.

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.

940 x 355 x 330 x 480 = 52858080000

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

355 : 1, 5, 71, 355

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,355,330,480, is 5.

Now, the common factors can be found like this.

940:2x 2x 5x 47

355:5x 71

330:2x 3x 5x 11

480:2x 2x 2x 2x 2x 3x 5

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 52858080000/(5x600)

LCM = 52858080000/3000

LCM = 17619360

Thus, we can understand that the LCM of 940,355,330,480 is 17619360.

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

• LCM of 241, 584, 136, 179
• LCM of 676, 240, 172, 359
• LCM of 329, 682, 320, 950
• LCM of 318, 790, 576, 379
• LCM of 848, 231, 191, 241

1. What is the LCM of 940, 355, 330, 480?

Answer: LCM of 940, 355, 330, 480 is 17619360.

2. How to calculate the LCM of 940, 355, 330, 480?

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 940, 355, 330, 480.

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}.