Given numbers are 809,750,414,102,268

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

The LCM of 809,750,414,102,268 is 95370178500.

Find LCM of 809,750,414,102,268 with Prime Factorization

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

2 x 3 x 809 x 125 x 69 x 17 x 134 = 95370178500

Therefore, the lowest common multiple of 809,750,414,102,268 is 95370178500.

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.

809 x 750 x 414 x 102 x 268 = 6866652852000

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.

809 : 1, 809

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

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 809,750,414,102,268, is 1.

Now, the common factors can be found like this.

809:809

750:2x 3x 5x 5x 5

414:2x 3x 3x 23

102:2x 3x 17

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 6866652852000/(1x72)

LCM = 6866652852000/72

LCM = 95370178500

Thus, we can understand that the LCM of 809,750,414,102,268 is 95370178500.

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

• LCM of 196, 817, 485, 442, 155
• LCM of 454, 454, 348, 257, 528
• LCM of 559, 373, 246, 776, 652
• LCM of 977, 405, 197, 785, 260
• LCM of 399, 211, 974, 868, 609

1. What is the LCM of 809, 750, 414, 102, 268?

Answer: LCM of 809, 750, 414, 102, 268 is 95370178500.

2. How to calculate the LCM of 809, 750, 414, 102, 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 809, 750, 414, 102, 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}.