Given numbers are 736,382,306,247,428

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

The LCM of 736,382,306,247,428 is 568438314912.

Find LCM of 736,382,306,247,428 with Prime Factorization

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

2 x 2 x 184 x 191 x 153 x 247 x 107 = 568438314912

Therefore, the lowest common multiple of 736,382,306,247,428 is 568438314912.

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 382 x 306 x 247 x 428 = 9095013038592

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

382 : 1, 2, 191, 382

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

247 : 1, 13, 19, 247

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,382,306,247,428, is 1.

Now, the common factors can be found like this.

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

382:2x 191

306:2x 3x 3x 17

247:13x 19

428:2x 2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 9095013038592/(1x16)

LCM = 9095013038592/16

LCM = 568438314912

Thus, we can understand that the LCM of 736,382,306,247,428 is 568438314912.

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

• LCM of 814, 722, 633, 119, 804
• LCM of 390, 451, 829, 663, 508
• LCM of 560, 116, 320, 800, 671
• LCM of 536, 382, 372, 865, 404
• LCM of 845, 756, 530, 646, 513

1. What is the LCM of 736, 382, 306, 247, 428?

Answer: LCM of 736, 382, 306, 247, 428 is 568438314912.

2. How to calculate the LCM of 736, 382, 306, 247, 428?

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, 382, 306, 247, 428.

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}.