Given numbers are 966,765,348,514,717

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

The LCM of 966,765,348,514,717 is 877559000220.

Find LCM of 966,765,348,514,717 with Prime Factorization

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

2 x 3 x 161 x 255 x 58 x 257 x 239 = 877559000220

Therefore, the lowest common multiple of 966,765,348,514,717 is 877559000220.

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 765 x 348 x 514 x 717 = 94776372023760

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

514 : 1, 2, 257, 514

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,765,348,514,717, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

765:3x 3x 5x 17

348:2x 2x 3x 29

514:2x 257

717:3x 239

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 = 94776372023760/(1x108)

LCM = 94776372023760/108

LCM = 877559000220

Thus, we can understand that the LCM of 966,765,348,514,717 is 877559000220.

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

• LCM of 564, 277, 448, 943, 622
• LCM of 582, 434, 978, 547, 128
• LCM of 478, 344, 860, 386, 785
• LCM of 686, 826, 964, 974, 100
• LCM of 700, 603, 351, 552, 229

1. What is the LCM of 966, 765, 348, 514, 717?

Answer: LCM of 966, 765, 348, 514, 717 is 877559000220.

2. How to calculate the LCM of 966, 765, 348, 514, 717?

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, 765, 348, 514, 717.

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}.