Given numbers are 214,182,660,396,474

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

The LCM of 214,182,660,396,474 is 1523061540.

Find LCM of 214,182,660,396,474 with Prime Factorization

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

2 x 2 x 3 x 11 x 107 x 91 x 5 x 3 x 79 = 1523061540

Therefore, the lowest common multiple of 214,182,660,396,474 is 1523061540.

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.

214 x 182 x 660 x 396 x 474 = 4825058958720

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.

214 : 1, 2, 107, 214

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

474 : 1, 2, 3, 6, 79, 158, 237, 474

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,182,660,396,474, is 2.

Now, the common factors can be found like this.

214:2x 107

182:2x 7x 13

660:2x 2x 3x 5x 11

396:2x 2x 3x 3x 11

474:2x 3x 79

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 2x 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 4825058958720/(2x1584)

LCM = 4825058958720/3168

LCM = 1523061540

Thus, we can understand that the LCM of 214,182,660,396,474 is 1523061540.

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

• LCM of 886, 856, 308, 649, 541
• LCM of 750, 930, 168, 729, 664
• LCM of 607, 230, 146, 888, 686
• LCM of 786, 783, 695, 316, 910
• LCM of 436, 273, 270, 818, 645

1. What is the LCM of 214, 182, 660, 396, 474?

Answer: LCM of 214, 182, 660, 396, 474 is 1523061540.

2. How to calculate the LCM of 214, 182, 660, 396, 474?

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 214, 182, 660, 396, 474.

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}.