Given numbers are 328,762,138,305

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

The LCM of 328,762,138,305 is 876650520.

Find LCM of 328,762,138,305 with Prime Factorization

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

2 x 3 x 164 x 127 x 23 x 305 = 876650520

Therefore, the lowest common multiple of 328,762,138,305 is 876650520.

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 762 x 138 x 305 = 10519806240

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

138 : 1, 2, 3, 6, 23, 46, 69, 138

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,762,138,305, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

762:2x 3x 127

138:2x 3x 23

305:5x 61

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 3 = 12

Therefore, the value for common factors is 12.

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 = 10519806240/(1x12)

LCM = 10519806240/12

LCM = 876650520

Thus, we can understand that the LCM of 328,762,138,305 is 876650520.

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

• LCM of 548, 665, 173, 402
• LCM of 826, 204, 264, 988
• LCM of 842, 885, 937, 800
• LCM of 889, 959, 571, 596
• LCM of 502, 208, 385, 972

1. What is the LCM of 328, 762, 138, 305?

Answer: LCM of 328, 762, 138, 305 is 876650520.

2. How to calculate the LCM of 328, 762, 138, 305?

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, 762, 138, 305.

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}.