Given numbers are 609,642,668,976,486

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

The LCM of 609,642,668,976,486 is 860304863376.

Find LCM of 609,642,668,976,486 with Prime Factorization

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

2 x 2 x 3 x 203 x 107 x 167 x 244 x 81 = 860304863376

Therefore, the lowest common multiple of 609,642,668,976,486 is 860304863376.

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.

609 x 642 x 668 x 976 x 486 = 123883900326144

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

642 : 1, 2, 3, 6, 107, 214, 321, 642

668 : 1, 2, 4, 167, 334, 668

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,642,668,976,486, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

642:2x 3x 107

668:2x 2x 167

976:2x 2x 2x 2x 61

486:2x 3x 3x 3x 3x 3

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 3 = 144

Therefore, the value for common factors is 144.

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 = 123883900326144/(1x144)

LCM = 123883900326144/144

LCM = 860304863376

Thus, we can understand that the LCM of 609,642,668,976,486 is 860304863376.

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

• LCM of 384, 802, 821, 591, 196
• LCM of 697, 829, 742, 160, 909
• LCM of 798, 511, 607, 198, 305
• LCM of 975, 397, 146, 506, 567
• LCM of 358, 701, 870, 762, 909

1. What is the LCM of 609, 642, 668, 976, 486?

Answer: LCM of 609, 642, 668, 976, 486 is 860304863376.

2. How to calculate the LCM of 609, 642, 668, 976, 486?

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 609, 642, 668, 976, 486.

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}.