Given numbers are 344,796,696,587,940

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

The LCM of 344,796,696,587,940 is 821555174040.

Find LCM of 344,796,696,587,940 with Prime Factorization

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

2 x 2 x 2 x 43 x 199 x 87 x 587 x 235 = 821555174040

Therefore, the lowest common multiple of 344,796,696,587,940 is 821555174040.

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 796 x 696 x 587 x 940 = 105159062277120

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

796 : 1, 2, 4, 199, 398, 796

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

587 : 1, 587

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,796,696,587,940, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

796:2x 2x 199

696:2x 2x 2x 3x 29

587:587

940:2x 2x 5x 47

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 2 = 128

Therefore, the value for common factors is 128.

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 = 105159062277120/(1x128)

LCM = 105159062277120/128

LCM = 821555174040

Thus, we can understand that the LCM of 344,796,696,587,940 is 821555174040.

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

• LCM of 311, 328, 598, 346, 225
• LCM of 124, 102, 504, 732, 186
• LCM of 166, 144, 231, 938, 743
• LCM of 693, 728, 967, 529, 212
• LCM of 475, 212, 527, 945, 780

1. What is the LCM of 344, 796, 696, 587, 940?

Answer: LCM of 344, 796, 696, 587, 940 is 821555174040.

2. How to calculate the LCM of 344, 796, 696, 587, 940?

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, 796, 696, 587, 940.

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}.