Given numbers are 234,204,305,357

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

The LCM of 234,204,305,357 is 16986060.

Find LCM of 234,204,305,357 with Prime Factorization

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

2 x 3 x 17 x 39 x 2 x 305 x 7 = 16986060

Therefore, the lowest common multiple of 234,204,305,357 is 16986060.

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.

234 x 204 x 305 x 357 = 5197734360

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

305 : 1, 5, 61, 305

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,204,305,357, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

204:2x 2x 3x 17

305:5x 61

357:3x 7x 17

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 5197734360/(1x306)

LCM = 5197734360/306

LCM = 16986060

Thus, we can understand that the LCM of 234,204,305,357 is 16986060.

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

• LCM of 353, 672, 870, 600
• LCM of 665, 656, 946, 247
• LCM of 163, 887, 921, 503
• LCM of 884, 266, 810, 305
• LCM of 529, 214, 844, 300

1. What is the LCM of 234, 204, 305, 357?

Answer: LCM of 234, 204, 305, 357 is 16986060.

2. How to calculate the LCM of 234, 204, 305, 357?

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 234, 204, 305, 357.

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}.