Given numbers are 946,450,580,557,330

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

The LCM of 946,450,580,557,330 is 6876332100.

Find LCM of 946,450,580,557,330 with Prime Factorization

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

2 x 3 x 5 x 11 x 43 x 15 x 58 x 557 x 1 = 6876332100

Therefore, the lowest common multiple of 946,450,580,557,330 is 6876332100.

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.

946 x 450 x 580 x 557 x 330 = 45383791860000

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

557 : 1, 557

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,450,580,557,330, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

450:2x 3x 3x 5x 5

580:2x 2x 5x 29

557:557

330:2x 3x 5x 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 3x 5x 5x 11 = 6600

Therefore, the value for common factors is 6600.

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 = 45383791860000/(1x6600)

LCM = 45383791860000/6600

LCM = 6876332100

Thus, we can understand that the LCM of 946,450,580,557,330 is 6876332100.

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

• LCM of 741, 772, 369, 659, 671
• LCM of 204, 387, 748, 969, 722
• LCM of 374, 610, 915, 593, 794
• LCM of 907, 368, 732, 214, 318
• LCM of 892, 944, 301, 171, 159

1. What is the LCM of 946, 450, 580, 557, 330?

Answer: LCM of 946, 450, 580, 557, 330 is 6876332100.

2. How to calculate the LCM of 946, 450, 580, 557, 330?

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 946, 450, 580, 557, 330.

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}.