Given numbers are 345,546,596,492,120

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

The LCM of 345,546,596,492,120 is 1534336440.

Find LCM of 345,546,596,492,120 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 91 x 149 x 41 x 2 = 1534336440

Therefore, the lowest common multiple of 345,546,596,492,120 is 1534336440.

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.

345 x 546 x 596 x 492 x 120 = 6628333420800

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

596 : 1, 2, 4, 149, 298, 596

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,546,596,492,120, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

546:2x 3x 7x 13

596:2x 2x 149

492:2x 2x 3x 41

120:2x 2x 2x 3x 5

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 6628333420800/(1x4320)

LCM = 6628333420800/4320

LCM = 1534336440

Thus, we can understand that the LCM of 345,546,596,492,120 is 1534336440.

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

• LCM of 658, 421, 145, 641, 556
• LCM of 604, 447, 681, 740, 336
• LCM of 986, 638, 721, 628, 834
• LCM of 317, 655, 362, 508, 495
• LCM of 816, 659, 929, 943, 403

1. What is the LCM of 345, 546, 596, 492, 120?

Answer: LCM of 345, 546, 596, 492, 120 is 1534336440.

2. How to calculate the LCM of 345, 546, 596, 492, 120?

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 345, 546, 596, 492, 120.

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}.