Given numbers are 276,888,810,973,642

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

The LCM of 276,888,810,973,642 is 287059013640.

Find LCM of 276,888,810,973,642 with Prime Factorization

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

2 x 2 x 3 x 23 x 74 x 135 x 973 x 107 = 287059013640

Therefore, the lowest common multiple of 276,888,810,973,642 is 287059013640.

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.

276 x 888 x 810 x 973 x 642 = 124009493892480

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

973 : 1, 7, 139, 973

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,888,810,973,642, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

888:2x 2x 2x 3x 37

810:2x 3x 3x 3x 3x 5

973:7x 139

642:2x 3x 107

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 3 = 432

Therefore, the value for common factors is 432.

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 = 124009493892480/(1x432)

LCM = 124009493892480/432

LCM = 287059013640

Thus, we can understand that the LCM of 276,888,810,973,642 is 287059013640.

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

• LCM of 741, 781, 525, 474, 919
• LCM of 346, 738, 917, 359, 155
• LCM of 995, 897, 908, 701, 465
• LCM of 506, 930, 875, 384, 676
• LCM of 485, 101, 196, 859, 105

1. What is the LCM of 276, 888, 810, 973, 642?

Answer: LCM of 276, 888, 810, 973, 642 is 287059013640.

2. How to calculate the LCM of 276, 888, 810, 973, 642?

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 276, 888, 810, 973, 642.

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}.