Given numbers are 591,24,381

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

The LCM of 591,24,381 is 600456.

Find LCM of 591,24,381 with Prime Factorization

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

3 x 197 x 8 x 127 = 600456

Therefore, the lowest common multiple of 591,24,381 is 600456.

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.

591 x 24 x 381 = 5404104

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.

591 : 1, 3, 197, 591

24 : 1, 2, 3, 4, 6, 8, 12, 24

381 : 1, 3, 127, 381

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,24,381, is 3.

Now, the common factors can be found like this.

591:3x 197

24:2x 2x 2x 3

381:3x 127

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 = 5404104/(3x3)

LCM = 5404104/9

LCM = 600456

Thus, we can understand that the LCM of 591,24,381 is 600456.

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

• LCM of 970, 75, 987
• LCM of 796, 59, 823
• LCM of 773, 15, 528
• LCM of 752, 38, 976
• LCM of 894, 37, 641

1. What is the LCM of 591, 24, 381?

Answer: LCM of 591, 24, 381 is 600456.

2. How to calculate the LCM of 591, 24, 381?

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 591, 24, 381.

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}.