Given numbers are 214,383,428,185

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

The LCM of 214,383,428,185 is 30325940.

Find LCM of 214,383,428,185 with Prime Factorization

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

2 x 107 x 1 x 383 x 2 x 185 = 30325940

Therefore, the lowest common multiple of 214,383,428,185 is 30325940.

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 383 x 428 x 185 = 6489751160

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

383 : 1, 383

428 : 1, 2, 4, 107, 214, 428

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,383,428,185, is 1.

Now, the common factors can be found like this.

214:2x 107

383:383

428:2x 2x 107

185:5x 37

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 6489751160/(1x214)

LCM = 6489751160/214

LCM = 30325940

Thus, we can understand that the LCM of 214,383,428,185 is 30325940.

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

• LCM of 628, 733, 803, 188
• LCM of 166, 102, 721, 277
• LCM of 842, 672, 895, 511
• LCM of 441, 190, 336, 336
• LCM of 308, 114, 551, 513

1. What is the LCM of 214, 383, 428, 185?

Answer: LCM of 214, 383, 428, 185 is 30325940.

2. How to calculate the LCM of 214, 383, 428, 185?

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, 383, 428, 185.

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}.