Given numbers are 971,767,396,471,816

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

The LCM of 971,767,396,471,816 is 3148606189872.

Find LCM of 971,767,396,471,816 with Prime Factorization

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

2 x 2 x 3 x 971 x 767 x 33 x 157 x 68 = 3148606189872

Therefore, the lowest common multiple of 971,767,396,471,816 is 3148606189872.

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.

971 x 767 x 396 x 471 x 816 = 113349822835392

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.

971 : 1, 971

767 : 1, 13, 59, 767

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

471 : 1, 3, 157, 471

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 971,767,396,471,816, is 1.

Now, the common factors can be found like this.

971:971

767:13x 59

396:2x 2x 3x 3x 11

471:3x 157

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 113349822835392/(1x36)

LCM = 113349822835392/36

LCM = 3148606189872

Thus, we can understand that the LCM of 971,767,396,471,816 is 3148606189872.

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

• LCM of 969, 258, 474, 285, 498
• LCM of 514, 569, 383, 860, 630
• LCM of 960, 789, 907, 955, 855
• LCM of 261, 766, 493, 428, 538
• LCM of 999, 826, 111, 804, 129

1. What is the LCM of 971, 767, 396, 471, 816?

Answer: LCM of 971, 767, 396, 471, 816 is 3148606189872.

2. How to calculate the LCM of 971, 767, 396, 471, 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 971, 767, 396, 471, 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}.