Given numbers are 167,204,169,238

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

The LCM of 167,204,169,238 is 40302444.

Find LCM of 167,204,169,238 with Prime Factorization

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

2 x 17 x 167 x 6 x 169 x 7 = 40302444

Therefore, the lowest common multiple of 167,204,169,238 is 40302444.

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.

167 x 204 x 169 x 238 = 1370283096

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.

167 : 1, 167

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

169 : 1, 13, 169

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,204,169,238, is 1.

Now, the common factors can be found like this.

167:167

204:2x 2x 3x 17

169:13x 13

238:2x 7x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 1370283096/(1x34)

LCM = 1370283096/34

LCM = 40302444

Thus, we can understand that the LCM of 167,204,169,238 is 40302444.

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

• LCM of 671, 525, 233, 631
• LCM of 534, 594, 417, 493
• LCM of 662, 657, 815, 351
• LCM of 482, 637, 238, 683
• LCM of 357, 729, 477, 486

1. What is the LCM of 167, 204, 169, 238?

Answer: LCM of 167, 204, 169, 238 is 40302444.

2. How to calculate the LCM of 167, 204, 169, 238?

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 167, 204, 169, 238.

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}.