Given numbers are 823,270,368,269,151

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

The LCM of 823,270,368,269,151 is 1660774430160.

Find LCM of 823,270,368,269,151 with Prime Factorization

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

2 x 823 x 135 x 184 x 269 x 151 = 1660774430160

Therefore, the lowest common multiple of 823,270,368,269,151 is 1660774430160.

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.

823 x 270 x 368 x 269 x 151 = 3321548860320

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.

823 : 1, 823

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

269 : 1, 269

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,270,368,269,151, is 1.

Now, the common factors can be found like this.

823:823

270:2x 3x 3x 3x 5

368:2x 2x 2x 2x 23

269:269

151:151

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

2 = 2

Therefore, the value for common factors is 2.

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 = 3321548860320/(1x2)

LCM = 3321548860320/2

LCM = 1660774430160

Thus, we can understand that the LCM of 823,270,368,269,151 is 1660774430160.

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

• LCM of 775, 342, 377, 651, 562
• LCM of 733, 818, 678, 180, 927
• LCM of 870, 790, 958, 134, 828
• LCM of 428, 855, 407, 903, 407
• LCM of 946, 812, 236, 258, 346

1. What is the LCM of 823, 270, 368, 269, 151?

Answer: LCM of 823, 270, 368, 269, 151 is 1660774430160.

2. How to calculate the LCM of 823, 270, 368, 269, 151?

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 823, 270, 368, 269, 151.

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}.