Given numbers are 180,167,116,269

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

The LCM of 180,167,116,269 is 234498060.

Find LCM of 180,167,116,269 with Prime Factorization

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

2 x 2 x 45 x 167 x 29 x 269 = 234498060

Therefore, the lowest common multiple of 180,167,116,269 is 234498060.

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.

180 x 167 x 116 x 269 = 937992240

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

167 : 1, 167

116 : 1, 2, 4, 29, 58, 116

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,167,116,269, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

167:167

116:2x 2x 29

269:269

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 937992240/(1x4)

LCM = 937992240/4

LCM = 234498060

Thus, we can understand that the LCM of 180,167,116,269 is 234498060.

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

• LCM of 257, 770, 336, 294
• LCM of 353, 150, 979, 149
• LCM of 454, 876, 122, 543
• LCM of 731, 525, 440, 252
• LCM of 172, 515, 725, 634

1. What is the LCM of 180, 167, 116, 269?

Answer: LCM of 180, 167, 116, 269 is 234498060.

2. How to calculate the LCM of 180, 167, 116, 269?

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 180, 167, 116, 269.

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}.