Given numbers are 828,611,538,953,816

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

The LCM of 828,611,538,953,816 is 8819127886608.

Find LCM of 828,611,538,953,816 with Prime Factorization

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

2 x 2 x 3 x 69 x 611 x 269 x 953 x 68 = 8819127886608

Therefore, the lowest common multiple of 828,611,538,953,816 is 8819127886608.

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.

828 x 611 x 538 x 953 x 816 = 211659069278592

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

611 : 1, 13, 47, 611

538 : 1, 2, 269, 538

953 : 1, 953

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 828,611,538,953,816, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

611:13x 47

538:2x 269

953:953

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 3 = 24

Therefore, the value for common factors is 24.

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 = 211659069278592/(1x24)

LCM = 211659069278592/24

LCM = 8819127886608

Thus, we can understand that the LCM of 828,611,538,953,816 is 8819127886608.

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

• LCM of 869, 566, 908, 803, 517
• LCM of 823, 954, 446, 115, 852
• LCM of 308, 551, 941, 504, 511
• LCM of 750, 689, 570, 591, 635
• LCM of 143, 758, 956, 522, 367

1. What is the LCM of 828, 611, 538, 953, 816?

Answer: LCM of 828, 611, 538, 953, 816 is 8819127886608.

2. How to calculate the LCM of 828, 611, 538, 953, 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 828, 611, 538, 953, 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}.