Given numbers are 304,338,622,172

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

The LCM of 304,338,622,172 is 687051248.

Find LCM of 304,338,622,172 with Prime Factorization

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

2 x 2 x 76 x 169 x 311 x 43 = 687051248

Therefore, the lowest common multiple of 304,338,622,172 is 687051248.

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.

304 x 338 x 622 x 172 = 10992819968

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

338 : 1, 2, 13, 26, 169, 338

622 : 1, 2, 311, 622

172 : 1, 2, 4, 43, 86, 172

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,338,622,172, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

338:2x 13x 13

622:2x 311

172:2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 10992819968/(2x8)

LCM = 10992819968/16

LCM = 687051248

Thus, we can understand that the LCM of 304,338,622,172 is 687051248.

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

• LCM of 557, 564, 352, 575
• LCM of 339, 647, 447, 513
• LCM of 443, 545, 945, 651
• LCM of 665, 781, 369, 890
• LCM of 965, 186, 180, 645

1. What is the LCM of 304, 338, 622, 172?

Answer: LCM of 304, 338, 622, 172 is 687051248.

2. How to calculate the LCM of 304, 338, 622, 172?

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 304, 338, 622, 172.

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}.