Given numbers are 184,229,523,161,214

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

The LCM of 184,229,523,161,214 is 16505808872.

Find LCM of 184,229,523,161,214 with Prime Factorization

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

2 x 23 x 4 x 229 x 523 x 7 x 107 = 16505808872

Therefore, the lowest common multiple of 184,229,523,161,214 is 16505808872.

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.

184 x 229 x 523 x 161 x 214 = 759267208112

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.

184 : 1, 2, 4, 8, 23, 46, 92, 184

229 : 1, 229

523 : 1, 523

161 : 1, 7, 23, 161

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,229,523,161,214, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

229:229

523:523

161:7x 23

214:2x 107

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 759267208112/(1x46)

LCM = 759267208112/46

LCM = 16505808872

Thus, we can understand that the LCM of 184,229,523,161,214 is 16505808872.

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

• LCM of 835, 786, 623, 729, 360
• LCM of 119, 193, 307, 181, 221
• LCM of 281, 321, 551, 606, 597
• LCM of 478, 547, 131, 714, 966
• LCM of 663, 880, 724, 786, 381

1. What is the LCM of 184, 229, 523, 161, 214?

Answer: LCM of 184, 229, 523, 161, 214 is 16505808872.

2. How to calculate the LCM of 184, 229, 523, 161, 214?

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 184, 229, 523, 161, 214.

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}.