Given numbers are 260,696,900,966

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

The LCM of 260,696,900,966 is 109254600.

Find LCM of 260,696,900,966 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 58 x 15 x 161 = 109254600

Therefore, the lowest common multiple of 260,696,900,966 is 109254600.

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.

260 x 696 x 900 x 966 = 157326624000

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,696,900,966, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

696:2x 2x 2x 3x 29

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

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 2x 2x 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 157326624000/(2x720)

LCM = 157326624000/1440

LCM = 109254600

Thus, we can understand that the LCM of 260,696,900,966 is 109254600.

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

• LCM of 826, 956, 713, 975
• LCM of 804, 469, 686, 853
• LCM of 383, 175, 278, 807
• LCM of 159, 384, 995, 820
• LCM of 516, 293, 575, 963

1. What is the LCM of 260, 696, 900, 966?

Answer: LCM of 260, 696, 900, 966 is 109254600.

2. How to calculate the LCM of 260, 696, 900, 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 260, 696, 900, 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}.