Given numbers are 727,308,310,361

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

The LCM of 727,308,310,361 is 12529219780.

Find LCM of 727,308,310,361 with Prime Factorization

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

2 x 727 x 154 x 155 x 361 = 12529219780

Therefore, the lowest common multiple of 727,308,310,361 is 12529219780.

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.

727 x 308 x 310 x 361 = 25058439560

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.

727 : 1, 727

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

310 : 1, 2, 5, 10, 31, 62, 155, 310

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,308,310,361, is 1.

Now, the common factors can be found like this.

727:727

308:2x 2x 7x 11

310:2x 5x 31

361:19x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 25058439560/(1x2)

LCM = 25058439560/2

LCM = 12529219780

Thus, we can understand that the LCM of 727,308,310,361 is 12529219780.

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

• LCM of 245, 257, 854, 355
• LCM of 464, 780, 905, 303
• LCM of 646, 637, 419, 301
• LCM of 563, 945, 153, 123
• LCM of 198, 898, 998, 159

1. What is the LCM of 727, 308, 310, 361?

Answer: LCM of 727, 308, 310, 361 is 12529219780.

2. How to calculate the LCM of 727, 308, 310, 361?

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 727, 308, 310, 361.

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}.