Given numbers are 174,166,646,190,242

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

The LCM of 174,166,646,190,242 is 2822183430.

Find LCM of 174,166,646,190,242 with Prime Factorization

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

2 x 19 x 87 x 83 x 17 x 5 x 121 = 2822183430

Therefore, the lowest common multiple of 174,166,646,190,242 is 2822183430.

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.

174 x 166 x 646 x 190 x 242 = 857943762720

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.

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

166 : 1, 2, 83, 166

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

242 : 1, 2, 11, 22, 121, 242

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,166,646,190,242, is 2.

Now, the common factors can be found like this.

174:2x 3x 29

166:2x 83

646:2x 17x 19

190:2x 5x 19

242:2x 11x 11

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 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 857943762720/(2x152)

LCM = 857943762720/304

LCM = 2822183430

Thus, we can understand that the LCM of 174,166,646,190,242 is 2822183430.

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

• LCM of 391, 676, 369, 484, 941
• LCM of 984, 833, 707, 472, 209
• LCM of 141, 566, 470, 578, 422
• LCM of 328, 907, 287, 694, 749
• LCM of 709, 147, 972, 849, 777

1. What is the LCM of 174, 166, 646, 190, 242?

Answer: LCM of 174, 166, 646, 190, 242 is 2822183430.

2. How to calculate the LCM of 174, 166, 646, 190, 242?

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 174, 166, 646, 190, 242.

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}.