Given numbers are 852,285,786,204,242

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

The LCM of 852,285,786,204,242 is 21810658980.

Find LCM of 852,285,786,204,242 with Prime Factorization

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

2 x 2 x 3 x 71 x 95 x 131 x 17 x 121 = 21810658980

Therefore, the lowest common multiple of 852,285,786,204,242 is 21810658980.

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.

852 x 285 x 786 x 204 x 242 = 9422204679360

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

285 : 1, 3, 5, 15, 19, 57, 95, 285

786 : 1, 2, 3, 6, 131, 262, 393, 786

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,285,786,204,242, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

285:3x 5x 19

786:2x 3x 131

204:2x 2x 3x 17

242:2x 11x 11

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 9422204679360/(1x432)

LCM = 9422204679360/432

LCM = 21810658980

Thus, we can understand that the LCM of 852,285,786,204,242 is 21810658980.

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

• LCM of 267, 387, 957, 372, 685
• LCM of 282, 350, 633, 791, 110
• LCM of 134, 930, 911, 862, 792
• LCM of 651, 553, 803, 340, 116
• LCM of 726, 254, 778, 221, 571

1. What is the LCM of 852, 285, 786, 204, 242?

Answer: LCM of 852, 285, 786, 204, 242 is 21810658980.

2. How to calculate the LCM of 852, 285, 786, 204, 242?

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 852, 285, 786, 204, 242.

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}.