Given numbers are 348,147,696,194,432

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

The LCM of 348,147,696,194,432 is 59545584.

Find LCM of 348,147,696,194,432 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 1 x 49 x 1 x 97 x 18 = 59545584

Therefore, the lowest common multiple of 348,147,696,194,432 is 59545584.

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.

348 x 147 x 696 x 194 x 432 = 2983948305408

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.

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

147 : 1, 3, 7, 21, 49, 147

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

194 : 1, 2, 97, 194

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,147,696,194,432, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

147:3x 7x 7

696:2x 2x 2x 3x 29

194:2x 97

432:2x 2x 2x 2x 3x 3x 3

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 2x 2x 2x 3x 3x 3x 29 = 50112

Therefore, the value for common factors is 50112.

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 = 2983948305408/(1x50112)

LCM = 2983948305408/50112

LCM = 59545584

Thus, we can understand that the LCM of 348,147,696,194,432 is 59545584.

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

• LCM of 369, 100, 214, 808, 984
• LCM of 316, 112, 485, 951, 855
• LCM of 127, 385, 586, 385, 306
• LCM of 228, 157, 239, 489, 613
• LCM of 168, 595, 434, 322, 632

1. What is the LCM of 348, 147, 696, 194, 432?

Answer: LCM of 348, 147, 696, 194, 432 is 59545584.

2. How to calculate the LCM of 348, 147, 696, 194, 432?

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 348, 147, 696, 194, 432.

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}.