Given numbers are 489,630,921,838

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

The LCM of 489,630,921,838 is 13209322770.

Find LCM of 489,630,921,838 with Prime Factorization

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

2 x 3 x 163 x 105 x 307 x 419 = 13209322770

Therefore, the lowest common multiple of 489,630,921,838 is 13209322770.

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 630 x 921 x 838 = 237767809860

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

921 : 1, 3, 307, 921

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,630,921,838, is 1.

Now, the common factors can be found like this.

489:3x 163

630:2x 3x 3x 5x 7

921:3x 307

838:2x 419

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 3 = 18

Therefore, the value for common factors is 18.

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 = 237767809860/(1x18)

LCM = 237767809860/18

LCM = 13209322770

Thus, we can understand that the LCM of 489,630,921,838 is 13209322770.

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

• LCM of 429, 613, 778, 385
• LCM of 462, 331, 505, 573
• LCM of 773, 774, 820, 927
• LCM of 108, 376, 499, 423
• LCM of 914, 820, 385, 195

1. What is the LCM of 489, 630, 921, 838?

Answer: LCM of 489, 630, 921, 838 is 13209322770.

2. How to calculate the LCM of 489, 630, 921, 838?

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, 630, 921, 838.

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}.