Given numbers are 348,306,582,735,736

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

The LCM of 348,306,582,735,736 is 77607744480.

Find LCM of 348,306,582,735,736 with Prime Factorization

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

2 x 2 x 3 x 29 x 51 x 97 x 245 x 184 = 77607744480

Therefore, the lowest common multiple of 348,306,582,735,736 is 77607744480.

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.

348 x 306 x 582 x 735 x 736 = 33526545615360

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,306,582,735,736, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

306:2x 3x 3x 17

582:2x 3x 97

735:3x 5x 7x 7

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

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 3 = 432

Therefore, the value for common factors is 432.

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 = 33526545615360/(1x432)

LCM = 33526545615360/432

LCM = 77607744480

Thus, we can understand that the LCM of 348,306,582,735,736 is 77607744480.

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

• LCM of 127, 685, 624, 823, 568
• LCM of 261, 793, 746, 852, 814
• LCM of 421, 252, 113, 610, 815
• LCM of 452, 980, 190, 952, 458
• LCM of 924, 553, 426, 439, 316

1. What is the LCM of 348, 306, 582, 735, 736?

Answer: LCM of 348, 306, 582, 735, 736 is 77607744480.

2. How to calculate the LCM of 348, 306, 582, 735, 736?

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 348, 306, 582, 735, 736.

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}.