Given numbers are 684,772,914,528,684

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

The LCM of 684,772,914,528,684 is 2654497296.

Find LCM of 684,772,914,528,684 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 193 x 457 x 44 x 1 = 2654497296

Therefore, the lowest common multiple of 684,772,914,528,684 is 2654497296.

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 772 x 914 x 528 x 684 = 174304910444544

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

772 : 1, 2, 4, 193, 386, 772

914 : 1, 2, 457, 914

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,772,914,528,684, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

772:2x 2x 193

914:2x 457

528:2x 2x 2x 2x 3x 11

684:2x 2x 3x 3x 19

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 2x 2x 3x 3x 3x 19 = 32832

Therefore, the value for common factors is 32832.

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 = 174304910444544/(2x32832)

LCM = 174304910444544/65664

LCM = 2654497296

Thus, we can understand that the LCM of 684,772,914,528,684 is 2654497296.

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

• LCM of 930, 110, 109, 640, 280
• LCM of 965, 251, 240, 828, 304
• LCM of 585, 327, 884, 898, 168
• LCM of 701, 921, 526, 412, 279
• LCM of 798, 473, 654, 231, 933

1. What is the LCM of 684, 772, 914, 528, 684?

Answer: LCM of 684, 772, 914, 528, 684 is 2654497296.

2. How to calculate the LCM of 684, 772, 914, 528, 684?

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, 772, 914, 528, 684.

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}.