Given numbers are 365,596,338,689

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

The LCM of 365,596,338,689 is 1948505780.

Find LCM of 365,596,338,689 with Prime Factorization

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

2 x 13 x 365 x 298 x 13 x 53 = 1948505780

Therefore, the lowest common multiple of 365,596,338,689 is 1948505780.

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.

365 x 596 x 338 x 689 = 50661150280

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.

365 : 1, 5, 73, 365

596 : 1, 2, 4, 149, 298, 596

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

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,596,338,689, is 1.

Now, the common factors can be found like this.

365:5x 73

596:2x 2x 149

338:2x 13x 13

689:13x 53

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 50661150280/(1x26)

LCM = 50661150280/26

LCM = 1948505780

Thus, we can understand that the LCM of 365,596,338,689 is 1948505780.

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

• LCM of 944, 240, 982, 481
• LCM of 431, 590, 460, 462
• LCM of 134, 388, 844, 559
• LCM of 243, 455, 515, 776
• LCM of 223, 630, 230, 828

1. What is the LCM of 365, 596, 338, 689?

Answer: LCM of 365, 596, 338, 689 is 1948505780.

2. How to calculate the LCM of 365, 596, 338, 689?

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 365, 596, 338, 689.

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}.