Given numbers are 829,784,871,994,728

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

The LCM of 829,784,871,994,728 is 40192692176.

Find LCM of 829,784,871,994,728 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 829 x 14 x 67 x 71 x 1 = 40192692176

Therefore, the lowest common multiple of 829,784,871,994,728 is 40192692176.

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.

829 x 784 x 871 x 994 x 728 = 409643918657792

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.

829 : 1, 829

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

871 : 1, 13, 67, 871

994 : 1, 2, 7, 14, 71, 142, 497, 994

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,784,871,994,728, is 1.

Now, the common factors can be found like this.

829:829

784:2x 2x 2x 2x 7x 7

871:13x 67

994:2x 7x 71

728:2x 2x 2x 7x 13

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 7x 7x 13 = 10192

Therefore, the value for common factors is 10192.

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 = 409643918657792/(1x10192)

LCM = 409643918657792/10192

LCM = 40192692176

Thus, we can understand that the LCM of 829,784,871,994,728 is 40192692176.

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

• LCM of 704, 117, 873, 396, 567
• LCM of 287, 134, 594, 890, 424
• LCM of 839, 323, 942, 487, 676
• LCM of 966, 821, 149, 699, 499
• LCM of 340, 423, 686, 551, 104

1. What is the LCM of 829, 784, 871, 994, 728?

Answer: LCM of 829, 784, 871, 994, 728 is 40192692176.

2. How to calculate the LCM of 829, 784, 871, 994, 728?

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 829, 784, 871, 994, 728.

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}.