Given numbers are 816,171,891,574,882

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

The LCM of 816,171,891,574,882 is 9250818192.

Find LCM of 816,171,891,574,882 with Prime Factorization

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

2 x 3 x 3 x 7 x 136 x 19 x 99 x 41 x 7 = 9250818192

Therefore, the lowest common multiple of 816,171,891,574,882 is 9250818192.

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.

816 x 171 x 891 x 574 x 882 = 62942566978368

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.

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

171 : 1, 3, 9, 19, 57, 171

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

574 : 1, 2, 7, 14, 41, 82, 287, 574

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,171,891,574,882, is 1.

Now, the common factors can be found like this.

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

171:3x 3x 19

891:3x 3x 3x 3x 11

574:2x 7x 41

882:2x 3x 3x 7x 7

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 3x 3x 3x 3x 3x 7 = 6804

Therefore, the value for common factors is 6804.

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 = 62942566978368/(1x6804)

LCM = 62942566978368/6804

LCM = 9250818192

Thus, we can understand that the LCM of 816,171,891,574,882 is 9250818192.

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

• LCM of 932, 677, 951, 674, 595
• LCM of 871, 318, 435, 689, 476
• LCM of 802, 359, 782, 412, 586
• LCM of 278, 685, 861, 787, 896
• LCM of 997, 923, 515, 300, 842

1. What is the LCM of 816, 171, 891, 574, 882?

Answer: LCM of 816, 171, 891, 574, 882 is 9250818192.

2. How to calculate the LCM of 816, 171, 891, 574, 882?

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 816, 171, 891, 574, 882.

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}.