Given numbers are 344,376,762,835,268

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

The LCM of 344,376,762,835,268 is 344621647560.

Find LCM of 344,376,762,835,268 with Prime Factorization

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

2 x 2 x 2 x 43 x 47 x 381 x 835 x 67 = 344621647560

Therefore, the lowest common multiple of 344,376,762,835,268 is 344621647560.

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.

344 x 376 x 762 x 835 x 268 = 22055785443840

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.

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

376 : 1, 2, 4, 8, 47, 94, 188, 376

762 : 1, 2, 3, 6, 127, 254, 381, 762

835 : 1, 5, 167, 835

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 344,376,762,835,268, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

376:2x 2x 2x 47

762:2x 3x 127

835:5x 167

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 22055785443840/(1x64)

LCM = 22055785443840/64

LCM = 344621647560

Thus, we can understand that the LCM of 344,376,762,835,268 is 344621647560.

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

• LCM of 979, 663, 805, 613, 799
• LCM of 241, 850, 741, 192, 583
• LCM of 262, 827, 634, 189, 984
• LCM of 380, 945, 985, 264, 764
• LCM of 374, 219, 944, 291, 526

1. What is the LCM of 344, 376, 762, 835, 268?

Answer: LCM of 344, 376, 762, 835, 268 is 344621647560.

2. How to calculate the LCM of 344, 376, 762, 835, 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 344, 376, 762, 835, 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}.