Given numbers are 214,524,381,195

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

The LCM of 214,524,381,195 is 1388524020.

Find LCM of 214,524,381,195 with Prime Factorization

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

2 x 3 x 107 x 262 x 127 x 65 = 1388524020

Therefore, the lowest common multiple of 214,524,381,195 is 1388524020.

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 524 x 381 x 195 = 8331144120

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

524 : 1, 2, 4, 131, 262, 524

381 : 1, 3, 127, 381

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,524,381,195, is 1.

Now, the common factors can be found like this.

214:2x 107

524:2x 2x 131

381:3x 127

195:3x 5x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8331144120/(1x6)

LCM = 8331144120/6

LCM = 1388524020

Thus, we can understand that the LCM of 214,524,381,195 is 1388524020.

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

• LCM of 113, 729, 698, 841
• LCM of 288, 236, 134, 873
• LCM of 747, 581, 700, 253
• LCM of 110, 477, 891, 258
• LCM of 646, 663, 283, 156

1. What is the LCM of 214, 524, 381, 195?

Answer: LCM of 214, 524, 381, 195 is 1388524020.

2. How to calculate the LCM of 214, 524, 381, 195?

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, 524, 381, 195.

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}.