Given numbers are 438,528,804,558,845

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

The LCM of 438,528,804,558,845 is 202941676080.

Find LCM of 438,528,804,558,845 with Prime Factorization

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

2 x 2 x 3 x 73 x 44 x 67 x 93 x 845 = 202941676080

Therefore, the lowest common multiple of 438,528,804,558,845 is 202941676080.

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.

438 x 528 x 804 x 558 x 845 = 87670804066560

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,528,804,558,845, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

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

804:2x 2x 3x 67

558:2x 3x 3x 31

845:5x 13x 13

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 = 87670804066560/(1x432)

LCM = 87670804066560/432

LCM = 202941676080

Thus, we can understand that the LCM of 438,528,804,558,845 is 202941676080.

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

• LCM of 397, 347, 117, 325, 673
• LCM of 513, 610, 968, 720, 140
• LCM of 780, 951, 832, 947, 929
• LCM of 678, 985, 869, 295, 305
• LCM of 713, 600, 315, 242, 535

1. What is the LCM of 438, 528, 804, 558, 845?

Answer: LCM of 438, 528, 804, 558, 845 is 202941676080.

2. How to calculate the LCM of 438, 528, 804, 558, 845?

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 438, 528, 804, 558, 845.

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}.