Given numbers are 214,353,171,447

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

The LCM of 214,353,171,447 is 1924734618.

Find LCM of 214,353,171,447 with Prime Factorization

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

3 x 214 x 353 x 57 x 149 = 1924734618

Therefore, the lowest common multiple of 214,353,171,447 is 1924734618.

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.

214 x 353 x 171 x 447 = 5774203854

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.

214 : 1, 2, 107, 214

353 : 1, 353

171 : 1, 3, 9, 19, 57, 171

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,353,171,447, is 1.

Now, the common factors can be found like this.

214:2x 107

353:353

171:3x 3x 19

447:3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 5774203854/(1x3)

LCM = 5774203854/3

LCM = 1924734618

Thus, we can understand that the LCM of 214,353,171,447 is 1924734618.

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

• LCM of 933, 880, 248, 212
• LCM of 163, 807, 152, 605
• LCM of 863, 673, 479, 638
• LCM of 889, 923, 444, 282
• LCM of 680, 744, 197, 910

1. What is the LCM of 214, 353, 171, 447?

Answer: LCM of 214, 353, 171, 447 is 1924734618.

2. How to calculate the LCM of 214, 353, 171, 447?

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 214, 353, 171, 447.

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}.