Given numbers are 867,87,538

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

The LCM of 867,87,538 is 13526934.

Find LCM of 867,87,538 with Prime Factorization

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

3 x 289 x 29 x 538 = 13526934

Therefore, the lowest common multiple of 867,87,538 is 13526934.

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.

867 x 87 x 538 = 40580802

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.

867 : 1, 3, 17, 51, 289, 867

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 867,87,538, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

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.

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 = 40580802/(1x3)

LCM = 40580802/3

LCM = 13526934

Thus, we can understand that the LCM of 867,87,538 is 13526934.

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

• LCM of 767, 84, 747
• LCM of 507, 27, 570
• LCM of 756, 80, 348
• LCM of 318, 71, 419
• LCM of 345, 55, 886

1. What is the LCM of 867, 87, 538?

Answer: LCM of 867, 87, 538 is 13526934.

2. How to calculate the LCM of 867, 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 867, 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}.