Given numbers are 814,212,566,948

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

The LCM of 814,212,566,948 is 5787154164.

Find LCM of 814,212,566,948 with Prime Factorization

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

2 x 2 x 407 x 53 x 283 x 237 = 5787154164

Therefore, the lowest common multiple of 814,212,566,948 is 5787154164.

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.

814 x 212 x 566 x 948 = 92594466624

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.

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

212 : 1, 2, 4, 53, 106, 212

566 : 1, 2, 283, 566

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,212,566,948, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

212:2x 2x 53

566:2x 283

948:2x 2x 3x 79

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 2 = 8

Therefore, the value for common factors is 8.

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 = 92594466624/(2x8)

LCM = 92594466624/16

LCM = 5787154164

Thus, we can understand that the LCM of 814,212,566,948 is 5787154164.

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

• LCM of 337, 693, 785, 849
• LCM of 871, 767, 334, 670
• LCM of 237, 326, 904, 112
• LCM of 130, 685, 918, 905
• LCM of 180, 141, 595, 141

1. What is the LCM of 814, 212, 566, 948?

Answer: LCM of 814, 212, 566, 948 is 5787154164.

2. How to calculate the LCM of 814, 212, 566, 948?

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 814, 212, 566, 948.

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}.