Given numbers are 217,334,251,814

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

The LCM of 217,334,251,814 is 7404135046.

Find LCM of 217,334,251,814 with Prime Factorization

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

2 x 217 x 167 x 251 x 407 = 7404135046

Therefore, the lowest common multiple of 217,334,251,814 is 7404135046.

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.

217 x 334 x 251 x 814 = 14808270092

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.

217 : 1, 7, 31, 217

334 : 1, 2, 167, 334

251 : 1, 251

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,334,251,814, is 1.

Now, the common factors can be found like this.

217:7x 31

334:2x 167

251:251

814:2x 11x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14808270092/(1x2)

LCM = 14808270092/2

LCM = 7404135046

Thus, we can understand that the LCM of 217,334,251,814 is 7404135046.

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

• LCM of 451, 536, 867, 922
• LCM of 300, 938, 380, 178
• LCM of 462, 455, 199, 983
• LCM of 448, 606, 134, 344
• LCM of 557, 703, 100, 787

1. What is the LCM of 217, 334, 251, 814?

Answer: LCM of 217, 334, 251, 814 is 7404135046.

2. How to calculate the LCM of 217, 334, 251, 814?

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 217, 334, 251, 814.

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}.