Given numbers are 339,17,705

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

The LCM of 339,17,705 is 1354305.

Find LCM of 339,17,705 with Prime Factorization

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

3 x 113 x 17 x 235 = 1354305

Therefore, the lowest common multiple of 339,17,705 is 1354305.

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.

339 x 17 x 705 = 4062915

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.

339 : 1, 3, 113, 339

17 : 1, 17

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,17,705, is 1.

Now, the common factors can be found like this.

339:3x 113

17:17

705:3x 5x 47

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4062915/(1x3)

LCM = 4062915/3

LCM = 1354305

Thus, we can understand that the LCM of 339,17,705 is 1354305.

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

• LCM of 935, 20, 592
• LCM of 682, 84, 598
• LCM of 509, 21, 912
• LCM of 676, 40, 654
• LCM of 577, 54, 513

1. What is the LCM of 339, 17, 705?

Answer: LCM of 339, 17, 705 is 1354305.

2. How to calculate the LCM of 339, 17, 705?

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 339, 17, 705.

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}.