Given numbers are 489,753,720,676,962

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

The LCM of 489,753,720,676,962 is 184196872080.

Find LCM of 489,753,720,676,962 with Prime Factorization

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

2 x 2 x 3 x 13 x 163 x 251 x 60 x 13 x 37 = 184196872080

Therefore, the lowest common multiple of 489,753,720,676,962 is 184196872080.

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 753 x 720 x 676 x 962 = 172408272266880

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

753 : 1, 3, 251, 753

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,753,720,676,962, is 1.

Now, the common factors can be found like this.

489:3x 163

753:3x 251

720:2x 2x 2x 2x 3x 3x 5

676:2x 2x 13x 13

962:2x 13x 37

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 172408272266880/(1x936)

LCM = 172408272266880/936

LCM = 184196872080

Thus, we can understand that the LCM of 489,753,720,676,962 is 184196872080.

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

• LCM of 515, 988, 530, 765, 949
• LCM of 187, 485, 185, 632, 599
• LCM of 460, 804, 915, 141, 280
• LCM of 287, 870, 745, 292, 974
• LCM of 315, 765, 249, 353, 594

1. What is the LCM of 489, 753, 720, 676, 962?

Answer: LCM of 489, 753, 720, 676, 962 is 184196872080.

2. How to calculate the LCM of 489, 753, 720, 676, 962?

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, 753, 720, 676, 962.

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}.