Given numbers are 338,295,688,531

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

The LCM of 338,295,688,531 is 308702160.

Find LCM of 338,295,688,531 with Prime Factorization

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

2 x 59 x 169 x 5 x 344 x 9 = 308702160

Therefore, the lowest common multiple of 338,295,688,531 is 308702160.

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 295 x 688 x 531 = 36426854880

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

295 : 1, 5, 59, 295

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

531 : 1, 3, 9, 59, 177, 531

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,295,688,531, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

295:5x 59

688:2x 2x 2x 2x 43

531:3x 3x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 36426854880/(1x118)

LCM = 36426854880/118

LCM = 308702160

Thus, we can understand that the LCM of 338,295,688,531 is 308702160.

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

• LCM of 139, 942, 627, 618
• LCM of 752, 949, 301, 388
• LCM of 109, 842, 440, 537
• LCM of 594, 735, 678, 739
• LCM of 726, 562, 605, 229

1. What is the LCM of 338, 295, 688, 531?

Answer: LCM of 338, 295, 688, 531 is 308702160.

2. How to calculate the LCM of 338, 295, 688, 531?

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, 295, 688, 531.

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}.