Given numbers are 582,468,684,678

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

The LCM of 582,468,684,678 is 97465212.

Find LCM of 582,468,684,678 with Prime Factorization

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

2 x 2 x 3 x 3 x 97 x 13 x 19 x 113 = 97465212

Therefore, the lowest common multiple of 582,468,684,678 is 97465212.

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.

582 x 468 x 684 x 678 = 126314914752

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,468,684,678, is 6.

Now, the common factors can be found like this.

582:2x 3x 97

468:2x 2x 3x 3x 13

684:2x 2x 3x 3x 19

678:2x 3x 113

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 126314914752/(6x216)

LCM = 126314914752/1296

LCM = 97465212

Thus, we can understand that the LCM of 582,468,684,678 is 97465212.

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

• LCM of 541, 992, 122, 929
• LCM of 436, 881, 340, 994
• LCM of 845, 829, 863, 300
• LCM of 408, 839, 345, 720
• LCM of 342, 812, 146, 188

1. What is the LCM of 582, 468, 684, 678?

Answer: LCM of 582, 468, 684, 678 is 97465212.

2. How to calculate the LCM of 582, 468, 684, 678?

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 582, 468, 684, 678.

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}.