Given numbers are 497,689,221

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

The LCM of 497,689,221 is 5821361.

Find LCM of 497,689,221 with Prime Factorization

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

13 x 497 x 53 x 17 = 5821361

Therefore, the lowest common multiple of 497,689,221 is 5821361.

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 689 x 221 = 75677693

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

689 : 1, 13, 53, 689

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,689,221, is 1.

Now, the common factors can be found like this.

497:7x 71

689:13x 53

221:13x 17

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

13 = 13

Therefore, the value for common factors is 13.

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 = 75677693/(1x13)

LCM = 75677693/13

LCM = 5821361

Thus, we can understand that the LCM of 497,689,221 is 5821361.

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

• LCM of 860, 645, 323
• LCM of 497, 754, 732
• LCM of 873, 622, 904
• LCM of 252, 933, 447
• LCM of 118, 949, 702

1. What is the LCM of 497, 689, 221?

Answer: LCM of 497, 689, 221 is 5821361.

2. How to calculate the LCM of 497, 689, 221?

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, 689, 221.

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}.