Given numbers are 566,361,367,728,338

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

The LCM of 566,361,367,728,338 is 354841521944.

Find LCM of 566,361,367,728,338 with Prime Factorization

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

2 x 13 x 283 x 361 x 367 x 28 x 13 = 354841521944

Therefore, the lowest common multiple of 566,361,367,728,338 is 354841521944.

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.

566 x 361 x 367 x 728 x 338 = 18451759141088

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.

566 : 1, 2, 283, 566

361 : 1, 19, 361

367 : 1, 367

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,361,367,728,338, is 1.

Now, the common factors can be found like this.

566:2x 283

361:19x 19

367:367

728:2x 2x 2x 7x 13

338:2x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 18451759141088/(1x52)

LCM = 18451759141088/52

LCM = 354841521944

Thus, we can understand that the LCM of 566,361,367,728,338 is 354841521944.

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

• LCM of 831, 517, 409, 505, 138
• LCM of 217, 674, 695, 416, 627
• LCM of 936, 959, 886, 555, 721
• LCM of 158, 303, 954, 461, 390
• LCM of 556, 847, 330, 149, 351

1. What is the LCM of 566, 361, 367, 728, 338?

Answer: LCM of 566, 361, 367, 728, 338 is 354841521944.

2. How to calculate the LCM of 566, 361, 367, 728, 338?

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 566, 361, 367, 728, 338.

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}.