Given numbers are 747,327,506,504,816

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

The LCM of 747,327,506,504,816 is 39222436176.

Find LCM of 747,327,506,504,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 83 x 109 x 253 x 7 x 34 = 39222436176

Therefore, the lowest common multiple of 747,327,506,504,816 is 39222436176.

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.

747 x 327 x 506 x 504 x 816 = 50832277284096

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.

747 : 1, 3, 9, 83, 249, 747

327 : 1, 3, 109, 327

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,327,506,504,816, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

327:3x 109

506:2x 11x 23

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

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

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 3 = 1296

Therefore, the value for common factors is 1296.

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 = 50832277284096/(1x1296)

LCM = 50832277284096/1296

LCM = 39222436176

Thus, we can understand that the LCM of 747,327,506,504,816 is 39222436176.

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

• LCM of 174, 664, 447, 910, 846
• LCM of 122, 946, 780, 809, 849
• LCM of 733, 484, 871, 238, 502
• LCM of 747, 137, 764, 551, 293
• LCM of 262, 434, 147, 896, 961

1. What is the LCM of 747, 327, 506, 504, 816?

Answer: LCM of 747, 327, 506, 504, 816 is 39222436176.

2. How to calculate the LCM of 747, 327, 506, 504, 816?

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 747, 327, 506, 504, 816.

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}.