Given numbers are 582,468,684,557,798

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

The LCM of 582,468,684,557,798 is 3362981076.

Find LCM of 582,468,684,557,798 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 97 x 13 x 1 x 557 x 7 = 3362981076

Therefore, the lowest common multiple of 582,468,684,557,798 is 3362981076.

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 557 x 798 = 82810046015424

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

557 : 1, 557

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,468,684,557,798, is 1.

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

557:557

798:2x 3x 7x 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 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 = 82810046015424/(1x24624)

LCM = 82810046015424/24624

LCM = 3362981076

Thus, we can understand that the LCM of 582,468,684,557,798 is 3362981076.

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

• LCM of 107, 525, 784, 159, 241
• LCM of 280, 880, 644, 610, 954
• LCM of 839, 418, 811, 369, 411
• LCM of 491, 636, 727, 786, 277
• LCM of 755, 125, 205, 577, 478

1. What is the LCM of 582, 468, 684, 557, 798?

Answer: LCM of 582, 468, 684, 557, 798 is 3362981076.

2. How to calculate the LCM of 582, 468, 684, 557, 798?

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, 557, 798.

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}.