Given numbers are 789,652,504,540,873

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

The LCM of 789,652,504,540,873 is 31436695080.

Find LCM of 789,652,504,540,873 with Prime Factorization

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

2 x 2 x 3 x 3 x 263 x 163 x 14 x 15 x 97 = 31436695080

Therefore, the lowest common multiple of 789,652,504,540,873 is 31436695080.

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.

789 x 652 x 504 x 540 x 873 = 122225870471040

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.

789 : 1, 3, 263, 789

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,652,504,540,873, is 1.

Now, the common factors can be found like this.

789:3x 263

652:2x 2x 163

504:2x 2x 2x 3x 3x 7

540:2x 2x 3x 3x 3x 5

873:3x 3x 97

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 122225870471040/(1x3888)

LCM = 122225870471040/3888

LCM = 31436695080

Thus, we can understand that the LCM of 789,652,504,540,873 is 31436695080.

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

• LCM of 478, 181, 818, 407, 326
• LCM of 968, 109, 672, 815, 994
• LCM of 708, 522, 206, 970, 681
• LCM of 670, 829, 743, 881, 892
• LCM of 933, 471, 219, 689, 839

1. What is the LCM of 789, 652, 504, 540, 873?

Answer: LCM of 789, 652, 504, 540, 873 is 31436695080.

2. How to calculate the LCM of 789, 652, 504, 540, 873?

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 789, 652, 504, 540, 873.

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}.