Given numbers are 489,780,624,265,724

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

The LCM of 489,780,624,265,724 is 4878616080.

Find LCM of 489,780,624,265,724 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 163 x 1 x 4 x 53 x 181 = 4878616080

Therefore, the lowest common multiple of 489,780,624,265,724 is 4878616080.

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 780 x 624 x 265 x 724 = 45663846508800

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

265 : 1, 5, 53, 265

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,780,624,265,724, is 1.

Now, the common factors can be found like this.

489:3x 163

780:2x 2x 3x 5x 13

624:2x 2x 2x 2x 3x 13

265:5x 53

724:2x 2x 181

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 3x 5x 13 = 9360

Therefore, the value for common factors is 9360.

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 = 45663846508800/(1x9360)

LCM = 45663846508800/9360

LCM = 4878616080

Thus, we can understand that the LCM of 489,780,624,265,724 is 4878616080.

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

• LCM of 897, 434, 533, 638, 470
• LCM of 827, 277, 125, 974, 235
• LCM of 557, 723, 101, 613, 505
• LCM of 952, 796, 789, 587, 492
• LCM of 912, 852, 947, 557, 676

1. What is the LCM of 489, 780, 624, 265, 724?

Answer: LCM of 489, 780, 624, 265, 724 is 4878616080.

2. How to calculate the LCM of 489, 780, 624, 265, 724?

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, 780, 624, 265, 724.

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}.