Given numbers are 382,630,506,852,421

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

The LCM of 382,630,506,852,421 is 1819972719180.

Find LCM of 382,630,506,852,421 with Prime Factorization

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

2 x 3 x 191 x 105 x 253 x 142 x 421 = 1819972719180

Therefore, the lowest common multiple of 382,630,506,852,421 is 1819972719180.

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.

382 x 630 x 506 x 852 x 421 = 43679345260320

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.

382 : 1, 2, 191, 382

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,630,506,852,421, is 1.

Now, the common factors can be found like this.

382:2x 191

630:2x 3x 3x 5x 7

506:2x 11x 23

852:2x 2x 3x 71

421:421

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 3 = 24

Therefore, the value for common factors is 24.

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 = 43679345260320/(1x24)

LCM = 43679345260320/24

LCM = 1819972719180

Thus, we can understand that the LCM of 382,630,506,852,421 is 1819972719180.

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

• LCM of 352, 493, 786, 299, 949
• LCM of 742, 564, 981, 676, 595
• LCM of 345, 280, 727, 400, 882
• LCM of 348, 828, 274, 832, 751
• LCM of 260, 837, 847, 853, 548

1. What is the LCM of 382, 630, 506, 852, 421?

Answer: LCM of 382, 630, 506, 852, 421 is 1819972719180.

2. How to calculate the LCM of 382, 630, 506, 852, 421?

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 382, 630, 506, 852, 421.

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}.