Given numbers are 684,646,756,978,669

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

The LCM of 684,646,756,978,669 is 8875989612.

Find LCM of 684,646,756,978,669 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 1 x 17 x 21 x 163 x 223 = 8875989612

Therefore, the lowest common multiple of 684,646,756,978,669 is 8875989612.

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.

684 x 646 x 756 x 978 x 669 = 218562368205888

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

646 : 1, 2, 17, 19, 34, 38, 323, 646

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

978 : 1, 2, 3, 6, 163, 326, 489, 978

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,646,756,978,669, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

646:2x 17x 19

756:2x 2x 3x 3x 3x 7

978:2x 3x 163

669:3x 223

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 3x 3x 19 = 24624

Therefore, the value for common factors is 24624.

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 = 218562368205888/(1x24624)

LCM = 218562368205888/24624

LCM = 8875989612

Thus, we can understand that the LCM of 684,646,756,978,669 is 8875989612.

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

• LCM of 760, 607, 856, 731, 430
• LCM of 278, 383, 937, 988, 756
• LCM of 709, 210, 723, 379, 436
• LCM of 500, 533, 521, 213, 250
• LCM of 536, 866, 333, 571, 182

1. What is the LCM of 684, 646, 756, 978, 669?

Answer: LCM of 684, 646, 756, 978, 669 is 8875989612.

2. How to calculate the LCM of 684, 646, 756, 978, 669?

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 684, 646, 756, 978, 669.

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}.