Given numbers are 328,426,306,274,190

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

The LCM of 328,426,306,274,190 is 46373277960.

Find LCM of 328,426,306,274,190 with Prime Factorization

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

2 x 3 x 164 x 71 x 51 x 137 x 95 = 46373277960

Therefore, the lowest common multiple of 328,426,306,274,190 is 46373277960.

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.

328 x 426 x 306 x 274 x 190 = 2225917342080

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

426 : 1, 2, 3, 6, 71, 142, 213, 426

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

274 : 1, 2, 137, 274

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,426,306,274,190, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

426:2x 3x 71

306:2x 3x 3x 17

274:2x 137

190:2x 5x 19

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 = 2225917342080/(2x24)

LCM = 2225917342080/48

LCM = 46373277960

Thus, we can understand that the LCM of 328,426,306,274,190 is 46373277960.

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

• LCM of 231, 663, 970, 266, 549
• LCM of 413, 403, 906, 329, 127
• LCM of 198, 370, 831, 496, 684
• LCM of 725, 307, 142, 895, 750
• LCM of 413, 521, 819, 631, 305

1. What is the LCM of 328, 426, 306, 274, 190?

Answer: LCM of 328, 426, 306, 274, 190 is 46373277960.

2. How to calculate the LCM of 328, 426, 306, 274, 190?

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 328, 426, 306, 274, 190.

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}.