Given numbers are 514,205,338

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

The LCM of 514,205,338 is 17807530.

Find LCM of 514,205,338 with Prime Factorization

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

2 x 257 x 205 x 169 = 17807530

Therefore, the lowest common multiple of 514,205,338 is 17807530.

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.

514 x 205 x 338 = 35615060

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.

514 : 1, 2, 257, 514

205 : 1, 5, 41, 205

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,205,338, is 1.

Now, the common factors can be found like this.

514:2x 257

205:5x 41

338:2x 13x 13

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 = 35615060/(1x2)

LCM = 35615060/2

LCM = 17807530

Thus, we can understand that the LCM of 514,205,338 is 17807530.

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

• LCM of 534, 115, 185
• LCM of 403, 802, 385
• LCM of 232, 734, 653
• LCM of 372, 187, 578
• LCM of 498, 616, 786

1. What is the LCM of 514, 205, 338?

Answer: LCM of 514, 205, 338 is 17807530.

2. How to calculate the LCM of 514, 205, 338?

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 514, 205, 338.

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}.