Given numbers are 687,185,333

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

The LCM of 687,185,333 is 381285.

Find LCM of 687,185,333 with Prime Factorization

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

3 x 37 x 229 x 5 x 3 = 381285

Therefore, the lowest common multiple of 687,185,333 is 381285.

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.

687 x 185 x 333 = 42322635

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.

687 : 1, 3, 229, 687

185 : 1, 5, 37, 185

333 : 1, 3, 9, 37, 111, 333

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,185,333, is 1.

Now, the common factors can be found like this.

687:3x 229

185:5x 37

333:3x 3x 37

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

3x 37 = 111

Therefore, the value for common factors is 111.

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 = 42322635/(1x111)

LCM = 42322635/111

LCM = 381285

Thus, we can understand that the LCM of 687,185,333 is 381285.

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

• LCM of 833, 533, 654
• LCM of 559, 351, 371
• LCM of 543, 752, 870
• LCM of 481, 966, 464
• LCM of 474, 887, 333

1. What is the LCM of 687, 185, 333?

Answer: LCM of 687, 185, 333 is 381285.

2. How to calculate the LCM of 687, 185, 333?

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 687, 185, 333.

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}.