Given numbers are 405,528,113,676,803

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

The LCM of 405,528,113,676,803 is 99370093680.

Find LCM of 405,528,113,676,803 with Prime Factorization

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

2 x 2 x 3 x 11 x 135 x 4 x 113 x 169 x 73 = 99370093680

Therefore, the lowest common multiple of 405,528,113,676,803 is 99370093680.

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.

405 x 528 x 113 x 676 x 803 = 13116852365760

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

113 : 1, 113

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,528,113,676,803, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

528:2x 2x 2x 2x 3x 11

113:113

676:2x 2x 13x 13

803:11x 73

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 11 = 132

Therefore, the value for common factors is 132.

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 = 13116852365760/(1x132)

LCM = 13116852365760/132

LCM = 99370093680

Thus, we can understand that the LCM of 405,528,113,676,803 is 99370093680.

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

• LCM of 724, 936, 511, 613, 428
• LCM of 801, 190, 502, 405, 970
• LCM of 785, 145, 548, 776, 205
• LCM of 656, 694, 734, 116, 870
• LCM of 564, 525, 882, 721, 300

1. What is the LCM of 405, 528, 113, 676, 803?

Answer: LCM of 405, 528, 113, 676, 803 is 99370093680.

2. How to calculate the LCM of 405, 528, 113, 676, 803?

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 405, 528, 113, 676, 803.

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}.