Given numbers are 203,672,704,828

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

The LCM of 203,672,704,828 is 29582784.

Find LCM of 203,672,704,828 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 29 x 1 x 22 x 69 = 29582784

Therefore, the lowest common multiple of 203,672,704,828 is 29582784.

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.

203 x 672 x 704 x 828 = 79518523392

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.

203 : 1, 7, 29, 203

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,672,704,828, is 1.

Now, the common factors can be found like this.

203:7x 29

672:2x 2x 2x 2x 2x 3x 7

704:2x 2x 2x 2x 2x 2x 11

828:2x 2x 3x 3x 23

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 2x 2x 2x 2x 3x 7 = 2688

Therefore, the value for common factors is 2688.

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 = 79518523392/(1x2688)

LCM = 79518523392/2688

LCM = 29582784

Thus, we can understand that the LCM of 203,672,704,828 is 29582784.

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

• LCM of 370, 186, 808, 817
• LCM of 963, 401, 492, 728
• LCM of 948, 613, 320, 205
• LCM of 287, 840, 735, 267
• LCM of 551, 860, 108, 215

1. What is the LCM of 203, 672, 704, 828?

Answer: LCM of 203, 672, 704, 828 is 29582784.

2. How to calculate the LCM of 203, 672, 704, 828?

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 203, 672, 704, 828.

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}.