Given numbers are 489,528,770,209

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

The LCM of 489,528,770,209 is 57232560.

Find LCM of 489,528,770,209 with Prime Factorization

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

2 x 3 x 11 x 163 x 8 x 35 x 19 = 57232560

Therefore, the lowest common multiple of 489,528,770,209 is 57232560.

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.

489 x 528 x 770 x 209 = 41550838560

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.

489 : 1, 3, 163, 489

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,528,770,209, is 1.

Now, the common factors can be found like this.

489:3x 163

528:2x 2x 2x 2x 3x 11

770:2x 5x 7x 11

209:11x 19

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 11x 11 = 726

Therefore, the value for common factors is 726.

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 = 41550838560/(1x726)

LCM = 41550838560/726

LCM = 57232560

Thus, we can understand that the LCM of 489,528,770,209 is 57232560.

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

• LCM of 733, 187, 401, 287
• LCM of 369, 561, 540, 273
• LCM of 486, 981, 960, 187
• LCM of 632, 623, 178, 754
• LCM of 656, 418, 830, 719

1. What is the LCM of 489, 528, 770, 209?

Answer: LCM of 489, 528, 770, 209 is 57232560.

2. How to calculate the LCM of 489, 528, 770, 209?

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 489, 528, 770, 209.

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}.