Given numbers are 678,966,153,827,824

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

The LCM of 678,966,153,827,824 is 1896830269992.

Find LCM of 678,966,153,827,824 with Prime Factorization

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

2 x 3 x 113 x 161 x 51 x 827 x 412 = 1896830269992

Therefore, the lowest common multiple of 678,966,153,827,824 is 1896830269992.

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.

678 x 966 x 153 x 827 x 824 = 68285889719712

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

153 : 1, 3, 9, 17, 51, 153

827 : 1, 827

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 678,966,153,827,824, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

966:2x 3x 7x 23

153:3x 3x 17

827:827

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 68285889719712/(1x36)

LCM = 68285889719712/36

LCM = 1896830269992

Thus, we can understand that the LCM of 678,966,153,827,824 is 1896830269992.

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

• LCM of 373, 839, 393, 880, 432
• LCM of 449, 677, 297, 876, 813
• LCM of 263, 744, 723, 526, 488
• LCM of 170, 455, 927, 797, 455
• LCM of 117, 178, 750, 276, 584

1. What is the LCM of 678, 966, 153, 827, 824?

Answer: LCM of 678, 966, 153, 827, 824 is 1896830269992.

2. How to calculate the LCM of 678, 966, 153, 827, 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 678, 966, 153, 827, 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}.