Given numbers are 312,354,271,218

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

The LCM of 312,354,271,218 is 543753912.

Find LCM of 312,354,271,218 with Prime Factorization

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

2 x 3 x 52 x 59 x 271 x 109 = 543753912

Therefore, the lowest common multiple of 312,354,271,218 is 543753912.

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.

312 x 354 x 271 x 218 = 6525046944

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

354 : 1, 2, 3, 6, 59, 118, 177, 354

271 : 1, 271

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,354,271,218, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

354:2x 3x 59

271:271

218:2x 109

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 3 = 12

Therefore, the value for common factors is 12.

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 = 6525046944/(1x12)

LCM = 6525046944/12

LCM = 543753912

Thus, we can understand that the LCM of 312,354,271,218 is 543753912.

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

• LCM of 304, 893, 978, 858
• LCM of 267, 175, 827, 731
• LCM of 364, 540, 959, 792
• LCM of 613, 522, 423, 971
• LCM of 668, 896, 595, 895

1. What is the LCM of 312, 354, 271, 218?

Answer: LCM of 312, 354, 271, 218 is 543753912.

2. How to calculate the LCM of 312, 354, 271, 218?

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 312, 354, 271, 218.

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}.