Given numbers are 420,821,920,442

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

The LCM of 420,821,920,442 is 3505440120.

Find LCM of 420,821,920,442 with Prime Factorization

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

2 x 2 x 5 x 21 x 821 x 46 x 221 = 3505440120

Therefore, the lowest common multiple of 420,821,920,442 is 3505440120.

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.

420 x 821 x 920 x 442 = 140217604800

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

821 : 1, 821

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,821,920,442, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

821:821

920:2x 2x 2x 5x 23

442:2x 13x 17

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 5 = 40

Therefore, the value for common factors is 40.

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 = 140217604800/(1x40)

LCM = 140217604800/40

LCM = 3505440120

Thus, we can understand that the LCM of 420,821,920,442 is 3505440120.

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

• LCM of 813, 884, 828, 110
• LCM of 386, 609, 295, 464
• LCM of 826, 942, 907, 867
• LCM of 846, 216, 496, 401
• LCM of 424, 587, 335, 361

1. What is the LCM of 420, 821, 920, 442?

Answer: LCM of 420, 821, 920, 442 is 3505440120.

2. How to calculate the LCM of 420, 821, 920, 442?

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 420, 821, 920, 442.

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}.