Given numbers are 204,357,821,816,294

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

The LCM of 204,357,821,816,294 is 32826864.

Find LCM of 204,357,821,816,294 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 1 x 1 x 821 x 4 x 7 = 32826864

Therefore, the lowest common multiple of 204,357,821,816,294 is 32826864.

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 357 x 821 x 816 x 294 = 14344289108352

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

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

821 : 1, 821

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,357,821,816,294, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

357:3x 7x 17

821:821

816:2x 2x 2x 2x 3x 17

294:2x 3x 7x 7

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 2x 3x 3x 3x 7x 17x 17 = 436968

Therefore, the value for common factors is 436968.

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 = 14344289108352/(1x436968)

LCM = 14344289108352/436968

LCM = 32826864

Thus, we can understand that the LCM of 204,357,821,816,294 is 32826864.

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

• LCM of 463, 176, 858, 830, 742
• LCM of 539, 303, 346, 225, 416
• LCM of 419, 301, 103, 604, 262
• LCM of 998, 182, 340, 321, 145
• LCM of 862, 547, 326, 660, 910

1. What is the LCM of 204, 357, 821, 816, 294?

Answer: LCM of 204, 357, 821, 816, 294 is 32826864.

2. How to calculate the LCM of 204, 357, 821, 816, 294?

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, 357, 821, 816, 294.

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}.