Given numbers are 489,250,342,524,528

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

The LCM of 489,250,342,524,528 is 80329986000.

Find LCM of 489,250,342,524,528 with Prime Factorization

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

2 x 2 x 3 x 163 x 125 x 57 x 131 x 44 = 80329986000

Therefore, the lowest common multiple of 489,250,342,524,528 is 80329986000.

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 250 x 342 x 524 x 528 = 11567517984000

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

524 : 1, 2, 4, 131, 262, 524

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,250,342,524,528, is 1.

Now, the common factors can be found like this.

489:3x 163

250:2x 5x 5x 5

342:2x 3x 3x 19

524:2x 2x 131

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

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

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 11567517984000/(1x144)

LCM = 11567517984000/144

LCM = 80329986000

Thus, we can understand that the LCM of 489,250,342,524,528 is 80329986000.

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

• LCM of 796, 748, 491, 480, 309
• LCM of 226, 468, 633, 898, 316
• LCM of 529, 398, 520, 479, 975
• LCM of 236, 630, 908, 134, 362
• LCM of 268, 910, 688, 724, 210

1. What is the LCM of 489, 250, 342, 524, 528?

Answer: LCM of 489, 250, 342, 524, 528 is 80329986000.

2. How to calculate the LCM of 489, 250, 342, 524, 528?

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, 250, 342, 524, 528.

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}.