Given numbers are 338,201,348,195,828

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

The LCM of 338,201,348,195,828 is 1359439380.

Find LCM of 338,201,348,195,828 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 67 x 29 x 5 x 69 = 1359439380

Therefore, the lowest common multiple of 338,201,348,195,828 is 1359439380.

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 201 x 348 x 195 x 828 = 3817305779040

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

201 : 1, 3, 67, 201

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

195 : 1, 3, 5, 13, 15, 39, 65, 195

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,201,348,195,828, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

201:3x 67

348:2x 2x 3x 29

195:3x 5x 13

828:2x 2x 3x 3x 23

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 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 3817305779040/(1x2808)

LCM = 3817305779040/2808

LCM = 1359439380

Thus, we can understand that the LCM of 338,201,348,195,828 is 1359439380.

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

• LCM of 324, 874, 721, 782, 874
• LCM of 985, 628, 962, 975, 122
• LCM of 729, 853, 105, 405, 213
• LCM of 579, 444, 545, 665, 691
• LCM of 843, 243, 787, 866, 170

1. What is the LCM of 338, 201, 348, 195, 828?

Answer: LCM of 338, 201, 348, 195, 828 is 1359439380.

2. How to calculate the LCM of 338, 201, 348, 195, 828?

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, 201, 348, 195, 828.

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}.