Given numbers are 788,239,132,214,268

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

The LCM of 788,239,132,214,268 is 44555019564.

Find LCM of 788,239,132,214,268 with Prime Factorization

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

2 x 2 x 197 x 239 x 33 x 107 x 67 = 44555019564

Therefore, the lowest common multiple of 788,239,132,214,268 is 44555019564.

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.

788 x 239 x 132 x 214 x 268 = 1425760626048

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.

788 : 1, 2, 4, 197, 394, 788

239 : 1, 239

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

214 : 1, 2, 107, 214

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,239,132,214,268, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

239:239

132:2x 2x 3x 11

214:2x 107

268:2x 2x 67

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 2 = 32

Therefore, the value for common factors is 32.

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 = 1425760626048/(1x32)

LCM = 1425760626048/32

LCM = 44555019564

Thus, we can understand that the LCM of 788,239,132,214,268 is 44555019564.

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

• LCM of 971, 483, 617, 210, 576
• LCM of 480, 920, 487, 694, 352
• LCM of 806, 260, 608, 708, 483
• LCM of 891, 390, 898, 423, 683
• LCM of 546, 560, 547, 807, 914

1. What is the LCM of 788, 239, 132, 214, 268?

Answer: LCM of 788, 239, 132, 214, 268 is 44555019564.

2. How to calculate the LCM of 788, 239, 132, 214, 268?

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 788, 239, 132, 214, 268.

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}.