Given numbers are 966,516,828,276

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

The LCM of 966,516,828,276 is 249228.

Find LCM of 966,516,828,276 with Prime Factorization

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

2 x 2 x 3 x 23 x 7 x 43 x 1 x 3 = 249228

Therefore, the lowest common multiple of 966,516,828,276 is 249228.

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 516 x 828 x 276 = 113911152768

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,516,828,276, is 6.

Now, the common factors can be found like this.

966:2x 3x 7x 23

516:2x 2x 3x 43

828:2x 2x 3x 3x 23

276:2x 2x 3x 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 23x 23 = 76176

Therefore, the value for common factors is 76176.

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 = 113911152768/(6x76176)

LCM = 113911152768/457056

LCM = 249228

Thus, we can understand that the LCM of 966,516,828,276 is 249228.

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

• LCM of 416, 278, 543, 945
• LCM of 782, 526, 329, 929
• LCM of 912, 306, 934, 975
• LCM of 353, 468, 130, 697
• LCM of 116, 769, 982, 314

1. What is the LCM of 966, 516, 828, 276?

Answer: LCM of 966, 516, 828, 276 is 249228.

2. How to calculate the LCM of 966, 516, 828, 276?

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, 516, 828, 276.

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}.