Given numbers are 726,264,247,642,474

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

The LCM of 726,264,247,642,474 is 6063235464.

Find LCM of 726,264,247,642,474 with Prime Factorization

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

2 x 3 x 11 x 11 x 4 x 247 x 107 x 79 = 6063235464

Therefore, the lowest common multiple of 726,264,247,642,474 is 6063235464.

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.

726 x 264 x 247 x 642 x 474 = 14406247462464

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

247 : 1, 13, 19, 247

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,264,247,642,474, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

264:2x 2x 2x 3x 11

247:13x 19

642:2x 3x 107

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 3x 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 14406247462464/(1x2376)

LCM = 14406247462464/2376

LCM = 6063235464

Thus, we can understand that the LCM of 726,264,247,642,474 is 6063235464.

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

• LCM of 411, 590, 840, 703, 105
• LCM of 794, 531, 760, 335, 820
• LCM of 127, 495, 456, 158, 569
• LCM of 683, 418, 684, 323, 481
• LCM of 411, 125, 971, 127, 982

1. What is the LCM of 726, 264, 247, 642, 474?

Answer: LCM of 726, 264, 247, 642, 474 is 6063235464.

2. How to calculate the LCM of 726, 264, 247, 642, 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 726, 264, 247, 642, 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}.