Given numbers are 258,805,825,270,228

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

The LCM of 258,805,825,270,228 is 3906648900.

Find LCM of 258,805,825,270,228 with Prime Factorization

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

2 x 3 x 5 x 43 x 161 x 55 x 9 x 38 = 3906648900

Therefore, the lowest common multiple of 258,805,825,270,228 is 3906648900.

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.

258 x 805 x 825 x 270 x 228 = 10547952030000

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

805 : 1, 5, 7, 23, 35, 115, 161, 805

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,805,825,270,228, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

805:5x 7x 23

825:3x 5x 5x 11

270:2x 3x 3x 3x 5

228:2x 2x 3x 19

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 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 10547952030000/(1x2700)

LCM = 10547952030000/2700

LCM = 3906648900

Thus, we can understand that the LCM of 258,805,825,270,228 is 3906648900.

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

• LCM of 892, 785, 411, 734, 550
• LCM of 617, 697, 946, 248, 484
• LCM of 115, 153, 685, 452, 443
• LCM of 411, 486, 346, 427, 144
• LCM of 861, 836, 238, 201, 203

1. What is the LCM of 258, 805, 825, 270, 228?

Answer: LCM of 258, 805, 825, 270, 228 is 3906648900.

2. How to calculate the LCM of 258, 805, 825, 270, 228?

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 258, 805, 825, 270, 228.

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}.