Given numbers are 228,258,177,199

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

The LCM of 228,258,177,199 is 115108764.

Find LCM of 228,258,177,199 with Prime Factorization

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

2 x 3 x 38 x 43 x 59 x 199 = 115108764

Therefore, the lowest common multiple of 228,258,177,199 is 115108764.

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.

228 x 258 x 177 x 199 = 2071957752

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.

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

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

177 : 1, 3, 59, 177

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,258,177,199, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

258:2x 3x 43

177:3x 59

199:199

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 2071957752/(1x18)

LCM = 2071957752/18

LCM = 115108764

Thus, we can understand that the LCM of 228,258,177,199 is 115108764.

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

• LCM of 630, 356, 351, 578
• LCM of 481, 624, 649, 112
• LCM of 363, 143, 137, 604
• LCM of 460, 180, 832, 637
• LCM of 692, 266, 429, 681

1. What is the LCM of 228, 258, 177, 199?

Answer: LCM of 228, 258, 177, 199 is 115108764.

2. How to calculate the LCM of 228, 258, 177, 199?

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 228, 258, 177, 199.

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}.