Given numbers are 189,184,253,415

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

The LCM of 189,184,253,415 is 158752440.

Find LCM of 189,184,253,415 with Prime Factorization

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

23 x 189 x 8 x 11 x 415 = 158752440

Therefore, the lowest common multiple of 189,184,253,415 is 158752440.

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.

189 x 184 x 253 x 415 = 3651306120

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

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

253 : 1, 11, 23, 253

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,184,253,415, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

184:2x 2x 2x 23

253:11x 23

415:5x 83

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

23 = 23

Therefore, the value for common factors is 23.

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 = 3651306120/(1x23)

LCM = 3651306120/23

LCM = 158752440

Thus, we can understand that the LCM of 189,184,253,415 is 158752440.

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

• LCM of 936, 191, 961, 480
• LCM of 900, 691, 697, 202
• LCM of 187, 508, 574, 477
• LCM of 994, 733, 431, 783
• LCM of 952, 336, 386, 503

1. What is the LCM of 189, 184, 253, 415?

Answer: LCM of 189, 184, 253, 415 is 158752440.

2. How to calculate the LCM of 189, 184, 253, 415?

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 189, 184, 253, 415.

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}.