Given numbers are 814,68,526

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

The LCM of 814,68,526 is 7278788.

Find LCM of 814,68,526 with Prime Factorization

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

2 x 407 x 34 x 263 = 7278788

Therefore, the lowest common multiple of 814,68,526 is 7278788.

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 68 x 526 = 29115152

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

68 : 1, 2, 4, 17, 34, 68

526 : 1, 2, 263, 526

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,68,526, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

68:2x 2x 17

526:2x 263

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 = 29115152/(2x2)

LCM = 29115152/4

LCM = 7278788

Thus, we can understand that the LCM of 814,68,526 is 7278788.

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

• LCM of 742, 88, 353
• LCM of 319, 91, 336
• LCM of 947, 87, 649
• LCM of 382, 69, 485
• LCM of 557, 59, 618

1. What is the LCM of 814, 68, 526?

Answer: LCM of 814, 68, 526 is 7278788.

2. How to calculate the LCM of 814, 68, 526?

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, 68, 526.

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}.