Given numbers are 736,414,431,201,445

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

The LCM of 736,414,431,201,445 is 85120155360.

Find LCM of 736,414,431,201,445 with Prime Factorization

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

2 x 3 x 23 x 16 x 3 x 431 x 67 x 445 = 85120155360

Therefore, the lowest common multiple of 736,414,431,201,445 is 85120155360.

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.

736 x 414 x 431 x 201 x 445 = 11746581439680

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

431 : 1, 431

201 : 1, 3, 67, 201

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,414,431,201,445, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

414:2x 3x 3x 23

431:431

201:3x 67

445:5x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 11746581439680/(1x138)

LCM = 11746581439680/138

LCM = 85120155360

Thus, we can understand that the LCM of 736,414,431,201,445 is 85120155360.

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

• LCM of 780, 436, 261, 121, 459
• LCM of 125, 154, 363, 333, 233
• LCM of 109, 760, 282, 447, 794
• LCM of 935, 131, 468, 559, 416
• LCM of 410, 143, 232, 766, 872

1. What is the LCM of 736, 414, 431, 201, 445?

Answer: LCM of 736, 414, 431, 201, 445 is 85120155360.

2. How to calculate the LCM of 736, 414, 431, 201, 445?

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 736, 414, 431, 201, 445.

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}.