Given numbers are 243,193,165,828,276

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

The LCM of 243,193,165,828,276 is 237308940.

Find LCM of 243,193,165,828,276 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 27 x 193 x 55 x 1 x 1 = 237308940

Therefore, the lowest common multiple of 243,193,165,828,276 is 237308940.

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.

243 x 193 x 165 x 828 x 276 = 1768426220880

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.

243 : 1, 3, 9, 27, 81, 243

193 : 1, 193

165 : 1, 3, 5, 11, 15, 33, 55, 165

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,193,165,828,276, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

193:193

165:3x 5x 11

828:2x 2x 3x 3x 23

276:2x 2x 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 2x 3x 3x 3x 3x 23 = 7452

Therefore, the value for common factors is 7452.

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 = 1768426220880/(1x7452)

LCM = 1768426220880/7452

LCM = 237308940

Thus, we can understand that the LCM of 243,193,165,828,276 is 237308940.

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

• LCM of 762, 233, 768, 748, 319
• LCM of 739, 100, 352, 168, 712
• LCM of 685, 967, 676, 374, 751
• LCM of 760, 192, 712, 641, 766
• LCM of 255, 479, 277, 484, 598

1. What is the LCM of 243, 193, 165, 828, 276?

Answer: LCM of 243, 193, 165, 828, 276 is 237308940.

2. How to calculate the LCM of 243, 193, 165, 828, 276?

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 243, 193, 165, 828, 276.

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}.