Given numbers are 696,817,237,414

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

The LCM of 696,817,237,414 is 3099613032.

Find LCM of 696,817,237,414 with Prime Factorization

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

2 x 3 x 116 x 817 x 79 x 69 = 3099613032

Therefore, the lowest common multiple of 696,817,237,414 is 3099613032.

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.

696 x 817 x 237 x 414 = 55793034576

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.

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

817 : 1, 19, 43, 817

237 : 1, 3, 79, 237

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,817,237,414, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

817:19x 43

237:3x 79

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 55793034576/(1x18)

LCM = 55793034576/18

LCM = 3099613032

Thus, we can understand that the LCM of 696,817,237,414 is 3099613032.

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

• LCM of 707, 378, 650, 562
• LCM of 601, 432, 948, 704
• LCM of 659, 905, 249, 175
• LCM of 735, 930, 695, 679
• LCM of 687, 300, 274, 399

1. What is the LCM of 696, 817, 237, 414?

Answer: LCM of 696, 817, 237, 414 is 3099613032.

2. How to calculate the LCM of 696, 817, 237, 414?

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 696, 817, 237, 414.

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}.