Given numbers are 218,404,136,514

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

The LCM of 218,404,136,514 is 384786568.

Find LCM of 218,404,136,514 with Prime Factorization

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

2 x 2 x 109 x 101 x 34 x 257 = 384786568

Therefore, the lowest common multiple of 218,404,136,514 is 384786568.

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.

218 x 404 x 136 x 514 = 6156585088

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.

218 : 1, 2, 109, 218

404 : 1, 2, 4, 101, 202, 404

136 : 1, 2, 4, 8, 17, 34, 68, 136

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,404,136,514, is 2.

Now, the common factors can be found like this.

218:2x 109

404:2x 2x 101

136:2x 2x 2x 17

514:2x 257

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 = 6156585088/(2x8)

LCM = 6156585088/16

LCM = 384786568

Thus, we can understand that the LCM of 218,404,136,514 is 384786568.

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

• LCM of 436, 239, 255, 256
• LCM of 550, 751, 303, 343
• LCM of 675, 585, 253, 810
• LCM of 154, 841, 150, 905
• LCM of 126, 988, 454, 867

1. What is the LCM of 218, 404, 136, 514?

Answer: LCM of 218, 404, 136, 514 is 384786568.

2. How to calculate the LCM of 218, 404, 136, 514?

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 218, 404, 136, 514.

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}.