Given numbers are 687,538,458

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

The LCM of 687,538,458 is 369606.

Find LCM of 687,538,458 with Prime Factorization

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

2 x 229 x 3 x 269 x 1 = 369606

Therefore, the lowest common multiple of 687,538,458 is 369606.

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 538 x 458 = 169279548

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

538 : 1, 2, 269, 538

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,538,458, is 1.

Now, the common factors can be found like this.

687:3x 229

538:2x 269

458:2x 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 229 = 458

Therefore, the value for common factors is 458.

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 = 169279548/(1x458)

LCM = 169279548/458

LCM = 369606

Thus, we can understand that the LCM of 687,538,458 is 369606.

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

• LCM of 867, 201, 788
• LCM of 568, 795, 463
• LCM of 626, 656, 669
• LCM of 264, 642, 342
• LCM of 142, 783, 921

1. What is the LCM of 687, 538, 458?

Answer: LCM of 687, 538, 458 is 369606.

2. How to calculate the LCM of 687, 538, 458?

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, 538, 458.

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}.