Given numbers are 574,493,306,646,272

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

The LCM of 574,493,306,646,272 is 387119376.

Find LCM of 574,493,306,646,272 with Prime Factorization

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

2 x 17 x 287 x 29 x 9 x 19 x 8 = 387119376

Therefore, the lowest common multiple of 574,493,306,646,272 is 387119376.

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.

574 x 493 x 306 x 646 x 272 = 15215339954304

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

493 : 1, 17, 29, 493

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,493,306,646,272, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

493:17x 29

306:2x 3x 3x 17

646:2x 17x 19

272:2x 2x 2x 2x 17

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 17x 17x 17 = 39304

Therefore, the value for common factors is 39304.

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 = 15215339954304/(1x39304)

LCM = 15215339954304/39304

LCM = 387119376

Thus, we can understand that the LCM of 574,493,306,646,272 is 387119376.

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

• LCM of 322, 670, 274, 733, 530
• LCM of 196, 537, 912, 491, 860
• LCM of 909, 116, 733, 870, 916
• LCM of 130, 647, 937, 793, 441
• LCM of 287, 120, 624, 607, 642

1. What is the LCM of 574, 493, 306, 646, 272?

Answer: LCM of 574, 493, 306, 646, 272 is 387119376.

2. How to calculate the LCM of 574, 493, 306, 646, 272?

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 574, 493, 306, 646, 272.

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}.