Given numbers are 421,996,208,249,311

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

The LCM of 421,996,208,249,311 is 6781178352.

Find LCM of 421,996,208,249,311 with Prime Factorization

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

2 x 2 x 3 x 83 x 421 x 1 x 52 x 1 x 311 = 6781178352

Therefore, the lowest common multiple of 421,996,208,249,311 is 6781178352.

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.

421 x 996 x 208 x 249 x 311 = 6754053638592

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.

421 : 1, 421

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

249 : 1, 3, 83, 249

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,996,208,249,311, is 1.

Now, the common factors can be found like this.

421:421

996:2x 2x 3x 83

208:2x 2x 2x 2x 13

249:3x 83

311:311

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 83 = 996

Therefore, the value for common factors is 996.

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 = 6754053638592/(1x996)

LCM = 6754053638592/996

LCM = 6781178352

Thus, we can understand that the LCM of 421,996,208,249,311 is 6781178352.

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

• LCM of 885, 585, 143, 377, 206
• LCM of 378, 721, 330, 174, 989
• LCM of 456, 223, 200, 304, 492
• LCM of 728, 376, 975, 140, 112
• LCM of 642, 767, 522, 175, 393

1. What is the LCM of 421, 996, 208, 249, 311?

Answer: LCM of 421, 996, 208, 249, 311 is 6781178352.

2. How to calculate the LCM of 421, 996, 208, 249, 311?

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 421, 996, 208, 249, 311.

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}.