Given numbers are 684,188,970,644,578

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

The LCM of 684,188,970,644,578 is 725469931620.

Find LCM of 684,188,970,644,578 with Prime Factorization

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

2 x 2 x 171 x 47 x 485 x 161 x 289 = 725469931620

Therefore, the lowest common multiple of 684,188,970,644,578 is 725469931620.

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 188 x 970 x 644 x 578 = 46430075623680

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

188 : 1, 2, 4, 47, 94, 188

970 : 1, 2, 5, 10, 97, 194, 485, 970

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

578 : 1, 2, 17, 34, 289, 578

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,188,970,644,578, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

188:2x 2x 47

970:2x 5x 97

644:2x 2x 7x 23

578:2x 17x 17

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 2 = 32

Therefore, the value for common factors is 32.

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 = 46430075623680/(2x32)

LCM = 46430075623680/64

LCM = 725469931620

Thus, we can understand that the LCM of 684,188,970,644,578 is 725469931620.

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

• LCM of 531, 414, 864, 292, 239
• LCM of 679, 624, 567, 178, 945
• LCM of 947, 331, 432, 949, 287
• LCM of 870, 592, 636, 321, 280
• LCM of 457, 969, 197, 447, 709

1. What is the LCM of 684, 188, 970, 644, 578?

Answer: LCM of 684, 188, 970, 644, 578 is 725469931620.

2. How to calculate the LCM of 684, 188, 970, 644, 578?

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, 188, 970, 644, 578.

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}.