Given numbers are 592,135,836,420,204

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

The LCM of 592,135,836,420,204 is 1987690320.

Find LCM of 592,135,836,420,204 with Prime Factorization

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

2 x 2 x 3 x 5 x 148 x 9 x 209 x 7 x 17 = 1987690320

Therefore, the lowest common multiple of 592,135,836,420,204 is 1987690320.

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.

592 x 135 x 836 x 420 x 204 = 5724548121600

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

135 : 1, 3, 5, 9, 15, 27, 45, 135

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,135,836,420,204, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

135:3x 3x 3x 5

836:2x 2x 11x 19

420:2x 2x 3x 5x 7

204:2x 2x 3x 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 2x 2x 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 5724548121600/(1x2880)

LCM = 5724548121600/2880

LCM = 1987690320

Thus, we can understand that the LCM of 592,135,836,420,204 is 1987690320.

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

• LCM of 278, 138, 739, 604, 847
• LCM of 210, 799, 810, 345, 852
• LCM of 429, 229, 210, 955, 394
• LCM of 301, 789, 383, 911, 236
• LCM of 611, 180, 731, 315, 229

1. What is the LCM of 592, 135, 836, 420, 204?

Answer: LCM of 592, 135, 836, 420, 204 is 1987690320.

2. How to calculate the LCM of 592, 135, 836, 420, 204?

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 592, 135, 836, 420, 204.

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}.