Given numbers are 820,135,499,965

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

The LCM of 820,135,499,965 is 2132236980.

Find LCM of 820,135,499,965 with Prime Factorization

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

5 x 164 x 27 x 499 x 193 = 2132236980

Therefore, the lowest common multiple of 820,135,499,965 is 2132236980.

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.

820 x 135 x 499 x 965 = 53305924500

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

135 : 1, 3, 5, 9, 15, 27, 45, 135

499 : 1, 499

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,135,499,965, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

135:3x 3x 3x 5

499:499

965:5x 193

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 53305924500/(1x25)

LCM = 53305924500/25

LCM = 2132236980

Thus, we can understand that the LCM of 820,135,499,965 is 2132236980.

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

• LCM of 441, 606, 682, 719
• LCM of 570, 664, 836, 860
• LCM of 769, 566, 250, 387
• LCM of 197, 385, 309, 208
• LCM of 994, 804, 179, 731

1. What is the LCM of 820, 135, 499, 965?

Answer: LCM of 820, 135, 499, 965 is 2132236980.

2. How to calculate the LCM of 820, 135, 499, 965?

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 820, 135, 499, 965.

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}.