Given numbers are 715,412,738,471,466

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

The LCM of 715,412,738,471,466 is 3976355431620.

Find LCM of 715,412,738,471,466 with Prime Factorization

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

2 x 3 x 715 x 206 x 123 x 157 x 233 = 3976355431620

Therefore, the lowest common multiple of 715,412,738,471,466 is 3976355431620.

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.

715 x 412 x 738 x 471 x 466 = 47716265179440

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

412 : 1, 2, 4, 103, 206, 412

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

471 : 1, 3, 157, 471

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,412,738,471,466, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

412:2x 2x 103

738:2x 3x 3x 41

471:3x 157

466:2x 233

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 = 47716265179440/(1x12)

LCM = 47716265179440/12

LCM = 3976355431620

Thus, we can understand that the LCM of 715,412,738,471,466 is 3976355431620.

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

• LCM of 676, 454, 969, 384, 356
• LCM of 414, 676, 150, 423, 514
• LCM of 540, 246, 875, 238, 578
• LCM of 663, 354, 900, 996, 178
• LCM of 332, 938, 981, 644, 582

1. What is the LCM of 715, 412, 738, 471, 466?

Answer: LCM of 715, 412, 738, 471, 466 is 3976355431620.

2. How to calculate the LCM of 715, 412, 738, 471, 466?

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 715, 412, 738, 471, 466.

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}.