Given numbers are 328,720,159,596,460

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

The LCM of 328,720,159,596,460 is 5361747120.

Find LCM of 328,720,159,596,460 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 41 x 6 x 53 x 149 x 23 = 5361747120

Therefore, the lowest common multiple of 328,720,159,596,460 is 5361747120.

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 720 x 159 x 596 x 460 = 10294554470400

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

159 : 1, 3, 53, 159

596 : 1, 2, 4, 149, 298, 596

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,720,159,596,460, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

720:2x 2x 2x 2x 3x 3x 5

159:3x 53

596:2x 2x 149

460:2x 2x 5x 23

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 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 10294554470400/(1x1920)

LCM = 10294554470400/1920

LCM = 5361747120

Thus, we can understand that the LCM of 328,720,159,596,460 is 5361747120.

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

• LCM of 134, 810, 132, 817, 946
• LCM of 374, 910, 375, 955, 608
• LCM of 277, 637, 835, 542, 423
• LCM of 920, 921, 208, 345, 846
• LCM of 350, 617, 119, 178, 187

1. What is the LCM of 328, 720, 159, 596, 460?

Answer: LCM of 328, 720, 159, 596, 460 is 5361747120.

2. How to calculate the LCM of 328, 720, 159, 596, 460?

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, 720, 159, 596, 460.

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}.