Given numbers are 687,319,489

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

The LCM of 687,319,489 is 35721939.

Find LCM of 687,319,489 with Prime Factorization

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

3 x 229 x 319 x 163 = 35721939

Therefore, the lowest common multiple of 687,319,489 is 35721939.

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 319 x 489 = 107165817

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

319 : 1, 11, 29, 319

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,319,489, is 1.

Now, the common factors can be found like this.

687:3x 229

319:11x 29

489:3x 163

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

3 = 3

Therefore, the value for common factors is 3.

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 = 107165817/(1x3)

LCM = 107165817/3

LCM = 35721939

Thus, we can understand that the LCM of 687,319,489 is 35721939.

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

• LCM of 630, 781, 241
• LCM of 405, 820, 508
• LCM of 606, 191, 685
• LCM of 354, 619, 153
• LCM of 100, 459, 987

1. What is the LCM of 687, 319, 489?

Answer: LCM of 687, 319, 489 is 35721939.

2. How to calculate the LCM of 687, 319, 489?

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, 319, 489.

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}.