Given numbers are 302,396,128,272

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

The LCM of 302,396,128,272 is 32529024.

Find LCM of 302,396,128,272 with Prime Factorization

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

2 x 2 x 2 x 2 x 151 x 99 x 8 x 17 = 32529024

Therefore, the lowest common multiple of 302,396,128,272 is 32529024.

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.

302 x 396 x 128 x 272 = 4163715072

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.

302 : 1, 2, 151, 302

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

128 : 1, 2, 4, 8, 16, 32, 64, 128

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,396,128,272, is 2.

Now, the common factors can be found like this.

302:2x 151

396:2x 2x 3x 3x 11

128:2x 2x 2x 2x 2x 2x 2

272:2x 2x 2x 2x 17

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 4163715072/(2x64)

LCM = 4163715072/128

LCM = 32529024

Thus, we can understand that the LCM of 302,396,128,272 is 32529024.

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

• LCM of 543, 291, 333, 155
• LCM of 264, 307, 654, 691
• LCM of 103, 952, 869, 996
• LCM of 358, 370, 353, 439
• LCM of 387, 634, 988, 901

1. What is the LCM of 302, 396, 128, 272?

Answer: LCM of 302, 396, 128, 272 is 32529024.

2. How to calculate the LCM of 302, 396, 128, 272?

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 302, 396, 128, 272.

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}.