Given numbers are 318,204,138,342,430

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

The LCM of 318,204,138,342,430 is 3047524380.

Find LCM of 318,204,138,342,430 with Prime Factorization

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

2 x 3 x 53 x 34 x 23 x 57 x 215 = 3047524380

Therefore, the lowest common multiple of 318,204,138,342,430 is 3047524380.

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.

318 x 204 x 138 x 342 x 430 = 1316530532160

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

138 : 1, 2, 3, 6, 23, 46, 69, 138

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

430 : 1, 2, 5, 10, 43, 86, 215, 430

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,204,138,342,430, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

204:2x 2x 3x 17

138:2x 3x 23

342:2x 3x 3x 19

430:2x 5x 43

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1316530532160/(2x216)

LCM = 1316530532160/432

LCM = 3047524380

Thus, we can understand that the LCM of 318,204,138,342,430 is 3047524380.

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

• LCM of 917, 105, 582, 599, 376
• LCM of 333, 678, 921, 889, 868
• LCM of 687, 761, 305, 600, 878
• LCM of 309, 140, 893, 423, 268
• LCM of 812, 265, 272, 112, 704

1. What is the LCM of 318, 204, 138, 342, 430?

Answer: LCM of 318, 204, 138, 342, 430 is 3047524380.

2. How to calculate the LCM of 318, 204, 138, 342, 430?

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 318, 204, 138, 342, 430.

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}.