Given numbers are 508,646,814

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

The LCM of 508,646,814 is 66782188.

Find LCM of 508,646,814 with Prime Factorization

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

2 x 254 x 323 x 407 = 66782188

Therefore, the lowest common multiple of 508,646,814 is 66782188.

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.

508 x 646 x 814 = 267128752

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.

508 : 1, 2, 4, 127, 254, 508

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,646,814, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

646:2x 17x 19

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 = 267128752/(2x2)

LCM = 267128752/4

LCM = 66782188

Thus, we can understand that the LCM of 508,646,814 is 66782188.

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

• LCM of 423, 962, 629
• LCM of 685, 278, 800
• LCM of 420, 237, 693
• LCM of 339, 964, 490
• LCM of 208, 965, 922

1. What is the LCM of 508, 646, 814?

Answer: LCM of 508, 646, 814 is 66782188.

2. How to calculate the LCM of 508, 646, 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 508, 646, 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}.