Given numbers are 891,777,924,966

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

The LCM of 891,777,924,966 is 21230748.

Find LCM of 891,777,924,966 with Prime Factorization

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

2 x 3 x 7 x 11 x 27 x 37 x 2 x 23 = 21230748

Therefore, the lowest common multiple of 891,777,924,966 is 21230748.

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.

891 x 777 x 924 x 966 = 617942151288

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.

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

777 : 1, 3, 7, 21, 37, 111, 259, 777

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,777,924,966, is 3.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

777:3x 7x 37

924:2x 2x 3x 7x 11

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7x 7x 11 = 9702

Therefore, the value for common factors is 9702.

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 = 617942151288/(3x9702)

LCM = 617942151288/29106

LCM = 21230748

Thus, we can understand that the LCM of 891,777,924,966 is 21230748.

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

• LCM of 402, 780, 887, 247
• LCM of 749, 775, 702, 946
• LCM of 457, 816, 472, 417
• LCM of 940, 279, 685, 762
• LCM of 165, 314, 914, 937

1. What is the LCM of 891, 777, 924, 966?

Answer: LCM of 891, 777, 924, 966 is 21230748.

2. How to calculate the LCM of 891, 777, 924, 966?

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 891, 777, 924, 966.

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}.