Given numbers are 466,177,704,717,540

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

The LCM of 466,177,704,717,540 is 312257056320.

Find LCM of 466,177,704,717,540 with Prime Factorization

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

2 x 2 x 3 x 233 x 59 x 176 x 239 x 45 = 312257056320

Therefore, the lowest common multiple of 466,177,704,717,540 is 312257056320.

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.

466 x 177 x 704 x 717 x 540 = 22482508055040

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.

466 : 1, 2, 233, 466

177 : 1, 3, 59, 177

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

717 : 1, 3, 239, 717

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,177,704,717,540, is 1.

Now, the common factors can be found like this.

466:2x 233

177:3x 59

704:2x 2x 2x 2x 2x 2x 11

717:3x 239

540:2x 2x 3x 3x 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 3 = 72

Therefore, the value for common factors is 72.

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 = 22482508055040/(1x72)

LCM = 22482508055040/72

LCM = 312257056320

Thus, we can understand that the LCM of 466,177,704,717,540 is 312257056320.

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

• LCM of 959, 847, 337, 777, 560
• LCM of 591, 217, 780, 431, 821
• LCM of 633, 382, 137, 936, 594
• LCM of 301, 620, 870, 577, 288
• LCM of 354, 869, 386, 856, 641

1. What is the LCM of 466, 177, 704, 717, 540?

Answer: LCM of 466, 177, 704, 717, 540 is 312257056320.

2. How to calculate the LCM of 466, 177, 704, 717, 540?

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 466, 177, 704, 717, 540.

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}.