Given numbers are 579,214,582,916,672

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

The LCM of 579,214,582,916,672 is 308260285536.

Find LCM of 579,214,582,916,672 with Prime Factorization

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

2 x 2 x 3 x 193 x 107 x 97 x 229 x 56 = 308260285536

Therefore, the lowest common multiple of 579,214,582,916,672 is 308260285536.

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.

579 x 214 x 582 x 916 x 672 = 44389481117184

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.

579 : 1, 3, 193, 579

214 : 1, 2, 107, 214

582 : 1, 2, 3, 6, 97, 194, 291, 582

916 : 1, 2, 4, 229, 458, 916

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,214,582,916,672, is 1.

Now, the common factors can be found like this.

579:3x 193

214:2x 107

582:2x 3x 97

916:2x 2x 229

672:2x 2x 2x 2x 2x 3x 7

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 44389481117184/(1x144)

LCM = 44389481117184/144

LCM = 308260285536

Thus, we can understand that the LCM of 579,214,582,916,672 is 308260285536.

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

• LCM of 862, 653, 486, 131, 262
• LCM of 872, 531, 418, 754, 388
• LCM of 507, 826, 853, 287, 792
• LCM of 489, 632, 124, 106, 576
• LCM of 264, 948, 976, 720, 233

1. What is the LCM of 579, 214, 582, 916, 672?

Answer: LCM of 579, 214, 582, 916, 672 is 308260285536.

2. How to calculate the LCM of 579, 214, 582, 916, 672?

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 579, 214, 582, 916, 672.

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}.