Given numbers are 420,207,669,260,792

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

The LCM of 420,207,669,260,792 is 1848286440.

Find LCM of 420,207,669,260,792 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 7 x 23 x 223 x 13 x 22 = 1848286440

Therefore, the lowest common multiple of 420,207,669,260,792 is 1848286440.

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 207 x 669 x 260 x 792 = 11976896131200

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

207 : 1, 3, 9, 23, 69, 207

669 : 1, 3, 223, 669

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,207,669,260,792, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

207:3x 3x 23

669:3x 223

260:2x 2x 5x 13

792:2x 2x 2x 3x 3x 11

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 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 11976896131200/(1x6480)

LCM = 11976896131200/6480

LCM = 1848286440

Thus, we can understand that the LCM of 420,207,669,260,792 is 1848286440.

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

• LCM of 911, 706, 622, 180, 814
• LCM of 921, 247, 559, 608, 867
• LCM of 864, 268, 989, 496, 959
• LCM of 283, 433, 197, 951, 848
• LCM of 159, 541, 673, 564, 387

1. What is the LCM of 420, 207, 669, 260, 792?

Answer: LCM of 420, 207, 669, 260, 792 is 1848286440.

2. How to calculate the LCM of 420, 207, 669, 260, 792?

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, 207, 669, 260, 792.

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}.