Given numbers are 365,686,590,128,338

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

The LCM of 365,686,590,128,338 is 159784876160.

Find LCM of 365,686,590,128,338 with Prime Factorization

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

2 x 5 x 73 x 343 x 59 x 64 x 169 = 159784876160

Therefore, the lowest common multiple of 365,686,590,128,338 is 159784876160.

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 686 x 590 x 128 x 338 = 6391395046400

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

590 : 1, 2, 5, 10, 59, 118, 295, 590

128 : 1, 2, 4, 8, 16, 32, 64, 128

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 365,686,590,128,338, is 1.

Now, the common factors can be found like this.

365:5x 73

686:2x 7x 7x 7

590:2x 5x 59

128:2x 2x 2x 2x 2x 2x 2

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 6391395046400/(1x40)

LCM = 6391395046400/40

LCM = 159784876160

Thus, we can understand that the LCM of 365,686,590,128,338 is 159784876160.

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

• LCM of 239, 930, 907, 620, 544
• LCM of 747, 793, 500, 370, 690
• LCM of 250, 986, 883, 630, 414
• LCM of 561, 288, 945, 114, 970
• LCM of 754, 960, 808, 395, 638

1. What is the LCM of 365, 686, 590, 128, 338?

Answer: LCM of 365, 686, 590, 128, 338 is 159784876160.

2. How to calculate the LCM of 365, 686, 590, 128, 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 365, 686, 590, 128, 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}.