Given numbers are 972,368,760,806,961

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

The LCM of 972,368,760,806,961 is 106131533040.

Find LCM of 972,368,760,806,961 with Prime Factorization

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

2 x 2 x 2 x 31 x 243 x 46 x 95 x 13 x 31 = 106131533040

Therefore, the lowest common multiple of 972,368,760,806,961 is 106131533040.

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.

972 x 368 x 760 x 806 x 961 = 210564961551360

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

806 : 1, 2, 13, 26, 31, 62, 403, 806

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,368,760,806,961, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

368:2x 2x 2x 2x 23

760:2x 2x 2x 5x 19

806:2x 13x 31

961:31x 31

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 2x 2x 31 = 1984

Therefore, the value for common factors is 1984.

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 = 210564961551360/(1x1984)

LCM = 210564961551360/1984

LCM = 106131533040

Thus, we can understand that the LCM of 972,368,760,806,961 is 106131533040.

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

• LCM of 414, 192, 555, 757, 848
• LCM of 405, 669, 876, 140, 683
• LCM of 160, 894, 162, 873, 460
• LCM of 836, 413, 885, 634, 267
• LCM of 189, 512, 641, 400, 819

1. What is the LCM of 972, 368, 760, 806, 961?

Answer: LCM of 972, 368, 760, 806, 961 is 106131533040.

2. How to calculate the LCM of 972, 368, 760, 806, 961?

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 972, 368, 760, 806, 961.

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}.