Given numbers are 174,325,394,894,404

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

The LCM of 174,325,394,894,404 is 335302254300.

Find LCM of 174,325,394,894,404 with Prime Factorization

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

2 x 3 x 29 x 325 x 197 x 149 x 202 = 335302254300

Therefore, the lowest common multiple of 174,325,394,894,404 is 335302254300.

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 325 x 394 x 894 x 404 = 8047254103200

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

325 : 1, 5, 13, 25, 65, 325

394 : 1, 2, 197, 394

894 : 1, 2, 3, 6, 149, 298, 447, 894

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,325,394,894,404, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

325:5x 5x 13

394:2x 197

894:2x 3x 149

404:2x 2x 101

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8047254103200/(1x24)

LCM = 8047254103200/24

LCM = 335302254300

Thus, we can understand that the LCM of 174,325,394,894,404 is 335302254300.

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

• LCM of 901, 816, 147, 512, 824
• LCM of 930, 942, 655, 292, 280
• LCM of 318, 537, 639, 479, 479
• LCM of 290, 988, 921, 842, 375
• LCM of 980, 621, 203, 469, 206

1. What is the LCM of 174, 325, 394, 894, 404?

Answer: LCM of 174, 325, 394, 894, 404 is 335302254300.

2. How to calculate the LCM of 174, 325, 394, 894, 404?

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, 325, 394, 894, 404.

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}.