Given numbers are 485,404,214,764

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

The LCM of 485,404,214,764 is 4004425780.

Find LCM of 485,404,214,764 with Prime Factorization

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

2 x 2 x 485 x 101 x 107 x 191 = 4004425780

Therefore, the lowest common multiple of 485,404,214,764 is 4004425780.

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.

485 x 404 x 214 x 764 = 32035406240

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.

485 : 1, 5, 97, 485

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

214 : 1, 2, 107, 214

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,404,214,764, is 1.

Now, the common factors can be found like this.

485:5x 97

404:2x 2x 101

214:2x 107

764:2x 2x 191

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 = 32035406240/(1x8)

LCM = 32035406240/8

LCM = 4004425780

Thus, we can understand that the LCM of 485,404,214,764 is 4004425780.

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

• LCM of 818, 937, 364, 795
• LCM of 179, 685, 266, 480
• LCM of 293, 274, 795, 600
• LCM of 882, 266, 576, 861
• LCM of 513, 507, 557, 151

1. What is the LCM of 485, 404, 214, 764?

Answer: LCM of 485, 404, 214, 764 is 4004425780.

2. How to calculate the LCM of 485, 404, 214, 764?

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 485, 404, 214, 764.

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}.