Given numbers are 203,365,192,219

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

The LCM of 203,365,192,219 is 14226240.

Find LCM of 203,365,192,219 with Prime Factorization

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

3 x 73 x 203 x 5 x 64 x 1 = 14226240

Therefore, the lowest common multiple of 203,365,192,219 is 14226240.

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.

203 x 365 x 192 x 219 = 3115546560

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.

203 : 1, 7, 29, 203

365 : 1, 5, 73, 365

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,365,192,219, is 1.

Now, the common factors can be found like this.

203:7x 29

365:5x 73

192:2x 2x 2x 2x 2x 2x 3

219:3x 73

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

3x 73 = 219

Therefore, the value for common factors is 219.

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 = 3115546560/(1x219)

LCM = 3115546560/219

LCM = 14226240

Thus, we can understand that the LCM of 203,365,192,219 is 14226240.

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

• LCM of 214, 370, 124, 413
• LCM of 177, 403, 978, 613
• LCM of 769, 208, 756, 118
• LCM of 875, 889, 451, 147
• LCM of 404, 157, 137, 251

1. What is the LCM of 203, 365, 192, 219?

Answer: LCM of 203, 365, 192, 219 is 14226240.

2. How to calculate the LCM of 203, 365, 192, 219?

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 203, 365, 192, 219.

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}.