Given numbers are 122,676,179,190,174

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

The LCM of 122,676,179,190,174 is 61005981660.

Find LCM of 122,676,179,190,174 with Prime Factorization

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

2 x 61 x 338 x 179 x 95 x 87 = 61005981660

Therefore, the lowest common multiple of 122,676,179,190,174 is 61005981660.

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.

122 x 676 x 179 x 190 x 174 = 488047853280

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.

122 : 1, 2, 61, 122

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

179 : 1, 179

190 : 1, 2, 5, 10, 19, 38, 95, 190

174 : 1, 2, 3, 6, 29, 58, 87, 174

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,676,179,190,174, is 1.

Now, the common factors can be found like this.

122:2x 61

676:2x 2x 13x 13

179:179

190:2x 5x 19

174:2x 3x 29

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 488047853280/(1x8)

LCM = 488047853280/8

LCM = 61005981660

Thus, we can understand that the LCM of 122,676,179,190,174 is 61005981660.

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

• LCM of 639, 567, 145, 475, 345
• LCM of 788, 429, 760, 317, 943
• LCM of 515, 337, 131, 109, 734
• LCM of 471, 937, 287, 218, 448
• LCM of 976, 959, 733, 149, 603

1. What is the LCM of 122, 676, 179, 190, 174?

Answer: LCM of 122, 676, 179, 190, 174 is 61005981660.

2. How to calculate the LCM of 122, 676, 179, 190, 174?

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 122, 676, 179, 190, 174.

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}.