Given numbers are 205,351,364

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

The LCM of 205,351,364 is 2014740.

Find LCM of 205,351,364 with Prime Factorization

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

13 x 205 x 27 x 28 = 2014740

Therefore, the lowest common multiple of 205,351,364 is 2014740.

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.

205 x 351 x 364 = 26191620

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.

205 : 1, 5, 41, 205

351 : 1, 3, 9, 13, 27, 39, 117, 351

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,351,364, is 1.

Now, the common factors can be found like this.

205:5x 41

351:3x 3x 3x 13

364:2x 2x 7x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 26191620/(1x13)

LCM = 26191620/13

LCM = 2014740

Thus, we can understand that the LCM of 205,351,364 is 2014740.

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

• LCM of 587, 436, 870
• LCM of 238, 107, 675
• LCM of 268, 862, 229
• LCM of 773, 116, 471
• LCM of 942, 766, 591

1. What is the LCM of 205, 351, 364?

Answer: LCM of 205, 351, 364 is 2014740.

2. How to calculate the LCM of 205, 351, 364?

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 205, 351, 364.

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}.