Given numbers are 966,577,754,990,824

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

The LCM of 966,577,754,990,824 is 14284842291720.

Find LCM of 966,577,754,990,824 with Prime Factorization

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

2 x 3 x 161 x 577 x 377 x 165 x 412 = 14284842291720

Therefore, the lowest common multiple of 966,577,754,990,824 is 14284842291720.

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 577 x 754 x 990 x 824 = 342836215001280

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

577 : 1, 577

754 : 1, 2, 13, 26, 29, 58, 377, 754

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,577,754,990,824, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

577:577

754:2x 13x 29

990:2x 3x 3x 5x 11

824:2x 2x 2x 103

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 3 = 24

Therefore, the value for common factors is 24.

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 = 342836215001280/(1x24)

LCM = 342836215001280/24

LCM = 14284842291720

Thus, we can understand that the LCM of 966,577,754,990,824 is 14284842291720.

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

• LCM of 284, 944, 183, 706, 993
• LCM of 918, 702, 927, 677, 374
• LCM of 359, 129, 418, 513, 331
• LCM of 378, 498, 569, 863, 356
• LCM of 529, 692, 255, 455, 382

1. What is the LCM of 966, 577, 754, 990, 824?

Answer: LCM of 966, 577, 754, 990, 824 is 14284842291720.

2. How to calculate the LCM of 966, 577, 754, 990, 824?

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, 577, 754, 990, 824.

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}.