Given numbers are 180,436,396,816,471

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

The LCM of 180,436,396,816,471 is 2304094320.

Find LCM of 180,436,396,816,471 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 109 x 11 x 68 x 157 = 2304094320

Therefore, the lowest common multiple of 180,436,396,816,471 is 2304094320.

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.

180 x 436 x 396 x 816 x 471 = 11944424954880

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

436 : 1, 2, 4, 109, 218, 436

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,436,396,816,471, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

436:2x 2x 109

396:2x 2x 3x 3x 11

816:2x 2x 2x 2x 3x 17

471:3x 157

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 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 11944424954880/(1x5184)

LCM = 11944424954880/5184

LCM = 2304094320

Thus, we can understand that the LCM of 180,436,396,816,471 is 2304094320.

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

• LCM of 804, 792, 870, 444, 536
• LCM of 267, 520, 972, 439, 175
• LCM of 395, 790, 984, 666, 730
• LCM of 112, 427, 346, 862, 865
• LCM of 478, 993, 266, 791, 155

1. What is the LCM of 180, 436, 396, 816, 471?

Answer: LCM of 180, 436, 396, 816, 471 is 2304094320.

2. How to calculate the LCM of 180, 436, 396, 816, 471?

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 180, 436, 396, 816, 471.

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}.