Given numbers are 204,642,357,214

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

The LCM of 204,642,357,214 is 152796.

Find LCM of 204,642,357,214 with Prime Factorization

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

2 x 3 x 17 x 107 x 2 x 1 x 7 x 1 = 152796

Therefore, the lowest common multiple of 204,642,357,214 is 152796.

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.

204 x 642 x 357 x 214 = 10005693264

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

642 : 1, 2, 3, 6, 107, 214, 321, 642

357 : 1, 3, 7, 17, 21, 51, 119, 357

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,642,357,214, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

642:2x 3x 107

357:3x 7x 17

214:2x 107

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 3x 3x 17x 107 = 65484

Therefore, the value for common factors is 65484.

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 = 10005693264/(1x65484)

LCM = 10005693264/65484

LCM = 152796

Thus, we can understand that the LCM of 204,642,357,214 is 152796.

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

• LCM of 486, 560, 552, 380
• LCM of 264, 165, 949, 373
• LCM of 901, 285, 288, 909
• LCM of 886, 226, 700, 900
• LCM of 977, 518, 506, 278

1. What is the LCM of 204, 642, 357, 214?

Answer: LCM of 204, 642, 357, 214 is 152796.

2. How to calculate the LCM of 204, 642, 357, 214?

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 204, 642, 357, 214.

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}.