Given numbers are 501,430,408

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

The LCM of 501,430,408 is 14649240.

Find LCM of 501,430,408 with Prime Factorization

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

2 x 3 x 167 x 215 x 68 = 14649240

Therefore, the lowest common multiple of 501,430,408 is 14649240.

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 430 x 408 = 87895440

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,430,408, is 1.

Now, the common factors can be found like this.

501:3x 167

430:2x 5x 43

408:2x 2x 2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 87895440/(1x6)

LCM = 87895440/6

LCM = 14649240

Thus, we can understand that the LCM of 501,430,408 is 14649240.

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

• LCM of 843, 438, 992
• LCM of 195, 996, 296
• LCM of 168, 794, 441
• LCM of 509, 709, 457
• LCM of 658, 794, 193

1. What is the LCM of 501, 430, 408?

Answer: LCM of 501, 430, 408 is 14649240.

2. How to calculate the LCM of 501, 430, 408?

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, 430, 408.

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}.