Given numbers are 201,432,957,732,685

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

The LCM of 201,432,957,732,685 is 385806587760.

Find LCM of 201,432,957,732,685 with Prime Factorization

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

2 x 2 x 3 x 67 x 36 x 319 x 61 x 685 = 385806587760

Therefore, the lowest common multiple of 201,432,957,732,685 is 385806587760.

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.

201 x 432 x 957 x 732 x 685 = 41667111478080

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.

201 : 1, 3, 67, 201

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

957 : 1, 3, 11, 29, 33, 87, 319, 957

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,432,957,732,685, is 1.

Now, the common factors can be found like this.

201:3x 67

432:2x 2x 2x 2x 3x 3x 3

957:3x 11x 29

732:2x 2x 3x 61

685:5x 137

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 41667111478080/(1x108)

LCM = 41667111478080/108

LCM = 385806587760

Thus, we can understand that the LCM of 201,432,957,732,685 is 385806587760.

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

• LCM of 521, 158, 972, 268, 392
• LCM of 344, 204, 169, 403, 469
• LCM of 891, 695, 202, 559, 834
• LCM of 510, 715, 842, 746, 519
• LCM of 114, 982, 843, 906, 946

1. What is the LCM of 201, 432, 957, 732, 685?

Answer: LCM of 201, 432, 957, 732, 685 is 385806587760.

2. How to calculate the LCM of 201, 432, 957, 732, 685?

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 201, 432, 957, 732, 685.

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}.