Given numbers are 303,646,302,984,390

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

The LCM of 303,646,302,984,390 is 315071629080.

Find LCM of 303,646,302,984,390 with Prime Factorization

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

2 x 3 x 101 x 323 x 151 x 164 x 65 = 315071629080

Therefore, the lowest common multiple of 303,646,302,984,390 is 315071629080.

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.

303 x 646 x 302 x 984 x 390 = 22685157293760

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.

303 : 1, 3, 101, 303

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

302 : 1, 2, 151, 302

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,646,302,984,390, is 1.

Now, the common factors can be found like this.

303:3x 101

646:2x 17x 19

302:2x 151

984:2x 2x 2x 3x 41

390:2x 3x 5x 13

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 22685157293760/(1x72)

LCM = 22685157293760/72

LCM = 315071629080

Thus, we can understand that the LCM of 303,646,302,984,390 is 315071629080.

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

• LCM of 341, 355, 319, 179, 107
• LCM of 559, 695, 934, 890, 189
• LCM of 354, 843, 580, 241, 446
• LCM of 936, 831, 248, 257, 888
• LCM of 198, 581, 200, 347, 396

1. What is the LCM of 303, 646, 302, 984, 390?

Answer: LCM of 303, 646, 302, 984, 390 is 315071629080.

2. How to calculate the LCM of 303, 646, 302, 984, 390?

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 303, 646, 302, 984, 390.

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}.