Given numbers are 497,323,442,306

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

The LCM of 497,323,442,306 is 37564254.

Find LCM of 497,323,442,306 with Prime Factorization

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

2 x 17 x 497 x 19 x 13 x 9 = 37564254

Therefore, the lowest common multiple of 497,323,442,306 is 37564254.

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.

497 x 323 x 442 x 306 = 21712138812

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.

497 : 1, 7, 71, 497

323 : 1, 17, 19, 323

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,323,442,306, is 1.

Now, the common factors can be found like this.

497:7x 71

323:17x 19

442:2x 13x 17

306:2x 3x 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 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 21712138812/(1x578)

LCM = 21712138812/578

LCM = 37564254

Thus, we can understand that the LCM of 497,323,442,306 is 37564254.

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

• LCM of 617, 121, 877, 519
• LCM of 346, 268, 136, 413
• LCM of 249, 928, 916, 273
• LCM of 951, 260, 852, 950
• LCM of 116, 603, 503, 204

1. What is the LCM of 497, 323, 442, 306?

Answer: LCM of 497, 323, 442, 306 is 37564254.

2. How to calculate the LCM of 497, 323, 442, 306?

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 497, 323, 442, 306.

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}.