Given numbers are 21,72,87,589

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

The LCM of 21,72,87,589 is 8608824.

Find LCM of 21,72,87,589 with Prime Factorization

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

3 x 7 x 24 x 29 x 589 = 8608824

Therefore, the lowest common multiple of 21,72,87,589 is 8608824.

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.

21 x 72 x 87 x 589 = 77479416

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.

21 : 1, 3, 7, 21

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

87 : 1, 3, 29, 87

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 21,72,87,589, is 1.

Now, the common factors can be found like this.

21:3x 7

72:2x 2x 2x 3x 3

87:3x 29

589:19x 31

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 77479416/(1x9)

LCM = 77479416/9

LCM = 8608824

Thus, we can understand that the LCM of 21,72,87,589 is 8608824.

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

• LCM of 30, 93, 83, 114
• LCM of 20, 58, 86, 363
• LCM of 71, 56, 87, 302
• LCM of 81, 39, 20, 318
• LCM of 66, 62, 79, 883

1. What is the LCM of 21, 72, 87, 589?

Answer: LCM of 21, 72, 87, 589 is 8608824.

2. How to calculate the LCM of 21, 72, 87, 589?

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 21, 72, 87, 589.

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}.