Given numbers are 420,990,417,488,235

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

The LCM of 420,990,417,488,235 is 11046780360.

Find LCM of 420,990,417,488,235 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 33 x 139 x 122 x 47 = 11046780360

Therefore, the lowest common multiple of 420,990,417,488,235 is 11046780360.

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 990 x 417 x 488 x 235 = 19884204648000

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

417 : 1, 3, 139, 417

488 : 1, 2, 4, 8, 61, 122, 244, 488

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,990,417,488,235, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

990:2x 3x 3x 5x 11

417:3x 139

488:2x 2x 2x 61

235:5x 47

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 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 19884204648000/(1x1800)

LCM = 19884204648000/1800

LCM = 11046780360

Thus, we can understand that the LCM of 420,990,417,488,235 is 11046780360.

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

• LCM of 676, 168, 428, 342, 223
• LCM of 308, 315, 895, 220, 986
• LCM of 466, 891, 671, 770, 920
• LCM of 482, 874, 769, 345, 195
• LCM of 467, 720, 565, 978, 105

1. What is the LCM of 420, 990, 417, 488, 235?

Answer: LCM of 420, 990, 417, 488, 235 is 11046780360.

2. How to calculate the LCM of 420, 990, 417, 488, 235?

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, 990, 417, 488, 235.

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}.