Given numbers are 28,58,87,538

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

The LCM of 28,58,87,538 is 655284.

Find LCM of 28,58,87,538 with Prime Factorization

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

2 x 29 x 14 x 1 x 3 x 269 = 655284

Therefore, the lowest common multiple of 28,58,87,538 is 655284.

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.

28 x 58 x 87 x 538 = 76012944

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.

28 : 1, 2, 4, 7, 14, 28

58 : 1, 2, 29, 58

87 : 1, 3, 29, 87

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 28,58,87,538, is 1.

Now, the common factors can be found like this.

28:2x 2x 7

58:2x 29

87:3x 29

538:2x 269

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

2x 2x 29 = 116

Therefore, the value for common factors is 116.

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 = 76012944/(1x116)

LCM = 76012944/116

LCM = 655284

Thus, we can understand that the LCM of 28,58,87,538 is 655284.

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

• LCM of 90, 64, 67, 614
• LCM of 13, 17, 21, 285
• LCM of 34, 47, 59, 635
• LCM of 47, 76, 13, 482
• LCM of 86, 88, 92, 926

1. What is the LCM of 28, 58, 87, 538?

Answer: LCM of 28, 58, 87, 538 is 655284.

2. How to calculate the LCM of 28, 58, 87, 538?

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 28, 58, 87, 538.

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}.