Given numbers are 501,543,217

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

The LCM of 501,543,217 is 19677777.

Find LCM of 501,543,217 with Prime Factorization

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

3 x 167 x 181 x 217 = 19677777

Therefore, the lowest common multiple of 501,543,217 is 19677777.

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.

501 x 543 x 217 = 59033331

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.

501 : 1, 3, 167, 501

543 : 1, 3, 181, 543

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,543,217, is 1.

Now, the common factors can be found like this.

501:3x 167

543:3x 181

217:7x 31

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

3 = 3

Therefore, the value for common factors is 3.

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 = 59033331/(1x3)

LCM = 59033331/3

LCM = 19677777

Thus, we can understand that the LCM of 501,543,217 is 19677777.

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

• LCM of 245, 523, 905
• LCM of 370, 379, 946
• LCM of 540, 413, 619
• LCM of 748, 638, 371
• LCM of 244, 257, 141

1. What is the LCM of 501, 543, 217?

Answer: LCM of 501, 543, 217 is 19677777.

2. How to calculate the LCM of 501, 543, 217?

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 501, 543, 217.

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}.