Given numbers are 821,666,135,223,261

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

The LCM of 821,666,135,223,261 is 53040975930.

Find LCM of 821,666,135,223,261 with Prime Factorization

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

3 x 3 x 821 x 74 x 15 x 223 x 29 = 53040975930

Therefore, the lowest common multiple of 821,666,135,223,261 is 53040975930.

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.

821 x 666 x 135 x 223 x 261 = 4296319050330

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.

821 : 1, 821

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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

223 : 1, 223

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,666,135,223,261, is 1.

Now, the common factors can be found like this.

821:821

666:2x 3x 3x 37

135:3x 3x 3x 5

223:223

261:3x 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.

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 4296319050330/(1x81)

LCM = 4296319050330/81

LCM = 53040975930

Thus, we can understand that the LCM of 821,666,135,223,261 is 53040975930.

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

• LCM of 641, 423, 100, 954, 656
• LCM of 949, 402, 351, 367, 276
• LCM of 796, 319, 196, 401, 944
• LCM of 723, 562, 829, 791, 524
• LCM of 887, 457, 185, 252, 574

1. What is the LCM of 821, 666, 135, 223, 261?

Answer: LCM of 821, 666, 135, 223, 261 is 53040975930.

2. How to calculate the LCM of 821, 666, 135, 223, 261?

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 821, 666, 135, 223, 261.

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}.