Given numbers are 497,213,317,223

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

The LCM of 497,213,317,223 is 105400281.

Find LCM of 497,213,317,223 with Prime Factorization

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

71 x 7 x 3 x 317 x 223 = 105400281

Therefore, the lowest common multiple of 497,213,317,223 is 105400281.

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 213 x 317 x 223 = 7483419951

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

213 : 1, 3, 71, 213

317 : 1, 317

223 : 1, 223

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,213,317,223, is 1.

Now, the common factors can be found like this.

497:7x 71

213:3x 71

317:317

223:223

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

71 = 71

Therefore, the value for common factors is 71.

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 = 7483419951/(1x71)

LCM = 7483419951/71

LCM = 105400281

Thus, we can understand that the LCM of 497,213,317,223 is 105400281.

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

• LCM of 684, 366, 750, 107
• LCM of 170, 133, 776, 232
• LCM of 299, 800, 130, 619
• LCM of 830, 886, 896, 155
• LCM of 253, 729, 209, 114

1. What is the LCM of 497, 213, 317, 223?

Answer: LCM of 497, 213, 317, 223 is 105400281.

2. How to calculate the LCM of 497, 213, 317, 223?

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, 213, 317, 223.

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}.