Given numbers are 772,990,114,657,447

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

The LCM of 772,990,114,657,447 is 78974198820.

Find LCM of 772,990,114,657,447 with Prime Factorization

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

2 x 3 x 3 x 386 x 55 x 19 x 73 x 149 = 78974198820

Therefore, the lowest common multiple of 772,990,114,657,447 is 78974198820.

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.

772 x 990 x 114 x 657 x 447 = 25587640417680

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.

772 : 1, 2, 4, 193, 386, 772

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

114 : 1, 2, 3, 6, 19, 38, 57, 114

657 : 1, 3, 9, 73, 219, 657

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,990,114,657,447, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

990:2x 3x 3x 5x 11

114:2x 3x 19

657:3x 3x 73

447:3x 149

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 25587640417680/(1x324)

LCM = 25587640417680/324

LCM = 78974198820

Thus, we can understand that the LCM of 772,990,114,657,447 is 78974198820.

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

• LCM of 557, 956, 615, 938, 352
• LCM of 749, 666, 811, 275, 605
• LCM of 935, 668, 433, 862, 117
• LCM of 943, 795, 259, 397, 983
• LCM of 687, 995, 191, 581, 211

1. What is the LCM of 772, 990, 114, 657, 447?

Answer: LCM of 772, 990, 114, 657, 447 is 78974198820.

2. How to calculate the LCM of 772, 990, 114, 657, 447?

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 772, 990, 114, 657, 447.

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}.