Given numbers are 638,235,693,696,288

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

The LCM of 638,235,693,696,288 is 151129440.

Find LCM of 638,235,693,696,288 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 29 x 1 x 235 x 7 x 1 x 4 = 151129440

Therefore, the lowest common multiple of 638,235,693,696,288 is 151129440.

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.

638 x 235 x 693 x 696 x 288 = 20826845867520

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

235 : 1, 5, 47, 235

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,235,693,696,288, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

235:5x 47

693:3x 3x 7x 11

696:2x 2x 2x 3x 29

288:2x 2x 2x 2x 2x 3x 3

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 3x 3x 3x 11x 29 = 137808

Therefore, the value for common factors is 137808.

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 = 20826845867520/(1x137808)

LCM = 20826845867520/137808

LCM = 151129440

Thus, we can understand that the LCM of 638,235,693,696,288 is 151129440.

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

• LCM of 162, 210, 947, 805, 779
• LCM of 199, 100, 227, 612, 592
• LCM of 682, 774, 172, 699, 185
• LCM of 807, 949, 828, 401, 611
• LCM of 776, 820, 401, 633, 705

1. What is the LCM of 638, 235, 693, 696, 288?

Answer: LCM of 638, 235, 693, 696, 288 is 151129440.

2. How to calculate the LCM of 638, 235, 693, 696, 288?

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 638, 235, 693, 696, 288.

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}.