Given numbers are 775,728,412,804,343

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

The LCM of 775,728,412,804,343 is 572350997400.

Find LCM of 775,728,412,804,343 with Prime Factorization

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

2 x 2 x 7 x 775 x 26 x 103 x 201 x 49 = 572350997400

Therefore, the lowest common multiple of 775,728,412,804,343 is 572350997400.

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.

775 x 728 x 412 x 804 x 343 = 64103311708800

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.

775 : 1, 5, 25, 31, 155, 775

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

412 : 1, 2, 4, 103, 206, 412

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

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,728,412,804,343, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

728:2x 2x 2x 7x 13

412:2x 2x 103

804:2x 2x 3x 67

343:7x 7x 7

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 7 = 112

Therefore, the value for common factors is 112.

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 = 64103311708800/(1x112)

LCM = 64103311708800/112

LCM = 572350997400

Thus, we can understand that the LCM of 775,728,412,804,343 is 572350997400.

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

• LCM of 410, 709, 614, 213, 765
• LCM of 794, 449, 455, 584, 799
• LCM of 417, 945, 324, 616, 829
• LCM of 651, 319, 853, 346, 771
• LCM of 645, 774, 296, 401, 314

1. What is the LCM of 775, 728, 412, 804, 343?

Answer: LCM of 775, 728, 412, 804, 343 is 572350997400.

2. How to calculate the LCM of 775, 728, 412, 804, 343?

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 775, 728, 412, 804, 343.

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}.