Given numbers are 247,192,120,361

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

The LCM of 247,192,120,361 is 4505280.

Find LCM of 247,192,120,361 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 13 x 8 x 5 x 19 = 4505280

Therefore, the lowest common multiple of 247,192,120,361 is 4505280.

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.

247 x 192 x 120 x 361 = 2054407680

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.

247 : 1, 13, 19, 247

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,192,120,361, is 1.

Now, the common factors can be found like this.

247:13x 19

192:2x 2x 2x 2x 2x 2x 3

120:2x 2x 2x 3x 5

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.

2x 2x 2x 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 2054407680/(1x456)

LCM = 2054407680/456

LCM = 4505280

Thus, we can understand that the LCM of 247,192,120,361 is 4505280.

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

• LCM of 328, 261, 187, 376
• LCM of 843, 386, 514, 578
• LCM of 358, 916, 774, 945
• LCM of 805, 502, 462, 811
• LCM of 793, 992, 436, 170

1. What is the LCM of 247, 192, 120, 361?

Answer: LCM of 247, 192, 120, 361 is 4505280.

2. How to calculate the LCM of 247, 192, 120, 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 247, 192, 120, 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}.