Given numbers are 825,338,194,565

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

The LCM of 825,338,194,565 is 3056474850.

Find LCM of 825,338,194,565 with Prime Factorization

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

2 x 5 x 165 x 169 x 97 x 113 = 3056474850

Therefore, the lowest common multiple of 825,338,194,565 is 3056474850.

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.

825 x 338 x 194 x 565 = 30564748500

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

338 : 1, 2, 13, 26, 169, 338

194 : 1, 2, 97, 194

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,338,194,565, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

338:2x 13x 13

194:2x 97

565:5x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 30564748500/(1x10)

LCM = 30564748500/10

LCM = 3056474850

Thus, we can understand that the LCM of 825,338,194,565 is 3056474850.

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

• LCM of 210, 522, 816, 743
• LCM of 394, 774, 706, 521
• LCM of 746, 832, 856, 424
• LCM of 151, 977, 391, 749
• LCM of 747, 809, 472, 691

1. What is the LCM of 825, 338, 194, 565?

Answer: LCM of 825, 338, 194, 565 is 3056474850.

2. How to calculate the LCM of 825, 338, 194, 565?

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 825, 338, 194, 565.

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}.