Given numbers are 756,648,296,194,270

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

The LCM of 756,648,296,194,270 is 81398520.

Find LCM of 756,648,296,194,270 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 7 x 3 x 37 x 97 x 5 = 81398520

Therefore, the lowest common multiple of 756,648,296,194,270 is 81398520.

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.

756 x 648 x 296 x 194 x 270 = 7595458698240

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

296 : 1, 2, 4, 8, 37, 74, 148, 296

194 : 1, 2, 97, 194

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,648,296,194,270, is 2.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

648:2x 2x 2x 3x 3x 3x 3

296:2x 2x 2x 37

194:2x 97

270:2x 3x 3x 3x 5

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 3x 3x 3 = 46656

Therefore, the value for common factors is 46656.

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 = 7595458698240/(2x46656)

LCM = 7595458698240/93312

LCM = 81398520

Thus, we can understand that the LCM of 756,648,296,194,270 is 81398520.

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

• LCM of 430, 968, 759, 443, 384
• LCM of 630, 572, 893, 864, 843
• LCM of 448, 285, 387, 333, 102
• LCM of 724, 312, 612, 415, 604
• LCM of 839, 777, 177, 559, 737

1. What is the LCM of 756, 648, 296, 194, 270?

Answer: LCM of 756, 648, 296, 194, 270 is 81398520.

2. How to calculate the LCM of 756, 648, 296, 194, 270?

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 756, 648, 296, 194, 270.

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}.