Given numbers are 727,284,288,652,132

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

The LCM of 727,284,288,652,132 is 26654192928.

Find LCM of 727,284,288,652,132 with Prime Factorization

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

2 x 2 x 3 x 727 x 71 x 24 x 163 x 11 = 26654192928

Therefore, the lowest common multiple of 727,284,288,652,132 is 26654192928.

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.

727 x 284 x 288 x 652 x 132 = 5117605042176

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.

727 : 1, 727

284 : 1, 2, 4, 71, 142, 284

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

652 : 1, 2, 4, 163, 326, 652

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,284,288,652,132, is 1.

Now, the common factors can be found like this.

727:727

284:2x 2x 71

288:2x 2x 2x 2x 2x 3x 3

652:2x 2x 163

132:2x 2x 3x 11

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 3 = 192

Therefore, the value for common factors is 192.

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 = 5117605042176/(1x192)

LCM = 5117605042176/192

LCM = 26654192928

Thus, we can understand that the LCM of 727,284,288,652,132 is 26654192928.

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

• LCM of 865, 986, 485, 559, 382
• LCM of 509, 216, 919, 398, 645
• LCM of 742, 509, 842, 538, 431
• LCM of 853, 582, 415, 374, 964
• LCM of 438, 764, 838, 555, 432

1. What is the LCM of 727, 284, 288, 652, 132?

Answer: LCM of 727, 284, 288, 652, 132 is 26654192928.

2. How to calculate the LCM of 727, 284, 288, 652, 132?

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 727, 284, 288, 652, 132.

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}.