Given numbers are 340,612,894,597,696

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

The LCM of 340,612,894,597,696 is 5262459480.

Find LCM of 340,612,894,597,696 with Prime Factorization

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

2 x 2 x 3 x 17 x 5 x 3 x 149 x 199 x 58 = 5262459480

Therefore, the lowest common multiple of 340,612,894,597,696 is 5262459480.

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.

340 x 612 x 894 x 597 x 696 = 77295004842240

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

894 : 1, 2, 3, 6, 149, 298, 447, 894

597 : 1, 3, 199, 597

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,612,894,597,696, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

612:2x 2x 3x 3x 17

894:2x 3x 149

597:3x 199

696:2x 2x 2x 3x 29

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 3x 3x 3x 17 = 14688

Therefore, the value for common factors is 14688.

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 = 77295004842240/(1x14688)

LCM = 77295004842240/14688

LCM = 5262459480

Thus, we can understand that the LCM of 340,612,894,597,696 is 5262459480.

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

• LCM of 199, 676, 152, 369, 266
• LCM of 816, 298, 270, 988, 844
• LCM of 668, 567, 496, 898, 500
• LCM of 393, 146, 563, 868, 138
• LCM of 703, 119, 797, 297, 962

1. What is the LCM of 340, 612, 894, 597, 696?

Answer: LCM of 340, 612, 894, 597, 696 is 5262459480.

2. How to calculate the LCM of 340, 612, 894, 597, 696?

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 340, 612, 894, 597, 696.

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}.