Given numbers are 966,969,774,900

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

The LCM of 966,969,774,900 is 2012516100.

Find LCM of 966,969,774,900 with Prime Factorization

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

2 x 3 x 3 x 161 x 323 x 43 x 50 = 2012516100

Therefore, the lowest common multiple of 966,969,774,900 is 2012516100.

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.

966 x 969 x 774 x 900 = 652055216400

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.

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,969,774,900, is 3.

Now, the common factors can be found like this.

966:2x 3x 7x 23

969:3x 17x 19

774:2x 3x 3x 43

900:2x 2x 3x 3x 5x 5

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 3 = 108

Therefore, the value for common factors is 108.

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 = 652055216400/(3x108)

LCM = 652055216400/324

LCM = 2012516100

Thus, we can understand that the LCM of 966,969,774,900 is 2012516100.

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

• LCM of 759, 301, 155, 494
• LCM of 279, 223, 190, 219
• LCM of 266, 623, 595, 156
• LCM of 820, 228, 168, 334
• LCM of 491, 153, 208, 206

1. What is the LCM of 966, 969, 774, 900?

Answer: LCM of 966, 969, 774, 900 is 2012516100.

2. How to calculate the LCM of 966, 969, 774, 900?

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 966, 969, 774, 900.

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}.