Given numbers are 228,241,266,687

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

The LCM of 228,241,266,687 is 88081644.

Find LCM of 228,241,266,687 with Prime Factorization

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

2 x 3 x 19 x 2 x 241 x 7 x 229 = 88081644

Therefore, the lowest common multiple of 228,241,266,687 is 88081644.

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 241 x 266 x 687 = 10041307416

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

241 : 1, 241

266 : 1, 2, 7, 14, 19, 38, 133, 266

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,241,266,687, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

241:241

266:2x 7x 19

687:3x 229

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 19 = 114

Therefore, the value for common factors is 114.

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 = 10041307416/(1x114)

LCM = 10041307416/114

LCM = 88081644

Thus, we can understand that the LCM of 228,241,266,687 is 88081644.

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

• LCM of 655, 739, 762, 424
• LCM of 487, 254, 439, 171
• LCM of 628, 605, 805, 956
• LCM of 335, 550, 100, 579
• LCM of 886, 543, 144, 764

1. What is the LCM of 228, 241, 266, 687?

Answer: LCM of 228, 241, 266, 687 is 88081644.

2. How to calculate the LCM of 228, 241, 266, 687?

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, 241, 266, 687.

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}.