Given numbers are 338,584,540,319,358

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

The LCM of 338,584,540,319,358 is 760811439960.

Find LCM of 338,584,540,319,358 with Prime Factorization

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

2 x 2 x 169 x 146 x 135 x 319 x 179 = 760811439960

Therefore, the lowest common multiple of 338,584,540,319,358 is 760811439960.

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.

338 x 584 x 540 x 319 x 358 = 12172983039360

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.

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

319 : 1, 11, 29, 319

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,584,540,319,358, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

584:2x 2x 2x 73

540:2x 2x 3x 3x 3x 5

319:11x 29

358:2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12172983039360/(1x16)

LCM = 12172983039360/16

LCM = 760811439960

Thus, we can understand that the LCM of 338,584,540,319,358 is 760811439960.

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

• LCM of 741, 788, 937, 829, 600
• LCM of 369, 121, 138, 565, 450
• LCM of 481, 997, 607, 309, 443
• LCM of 745, 380, 411, 366, 907
• LCM of 143, 641, 691, 613, 737

1. What is the LCM of 338, 584, 540, 319, 358?

Answer: LCM of 338, 584, 540, 319, 358 is 760811439960.

2. How to calculate the LCM of 338, 584, 540, 319, 358?

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 338, 584, 540, 319, 358.

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}.