Given numbers are 344,419,198,345

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

The LCM of 344,419,198,345 is 1640988360.

Find LCM of 344,419,198,345 with Prime Factorization

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

2 x 3 x 172 x 419 x 33 x 115 = 1640988360

Therefore, the lowest common multiple of 344,419,198,345 is 1640988360.

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.

344 x 419 x 198 x 345 = 9845930160

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

419 : 1, 419

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,419,198,345, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

419:419

198:2x 3x 3x 11

345:3x 5x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 9845930160/(1x6)

LCM = 9845930160/6

LCM = 1640988360

Thus, we can understand that the LCM of 344,419,198,345 is 1640988360.

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

• LCM of 757, 431, 158, 359
• LCM of 386, 743, 238, 832
• LCM of 474, 923, 473, 216
• LCM of 546, 136, 286, 224
• LCM of 200, 196, 976, 757

1. What is the LCM of 344, 419, 198, 345?

Answer: LCM of 344, 419, 198, 345 is 1640988360.

2. How to calculate the LCM of 344, 419, 198, 345?

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 344, 419, 198, 345.

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}.