Given numbers are 67,96,538

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

The LCM of 67,96,538 is 1730208.

Find LCM of 67,96,538 with Prime Factorization

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

2 x 67 x 48 x 269 = 1730208

Therefore, the lowest common multiple of 67,96,538 is 1730208.

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.

67 x 96 x 538 = 3460416

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.

67 : 1, 67

96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 67,96,538, is 1.

Now, the common factors can be found like this.

67:67

96:2x 2x 2x 2x 2x 3

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 3460416/(1x2)

LCM = 3460416/2

LCM = 1730208

Thus, we can understand that the LCM of 67,96,538 is 1730208.

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

• LCM of 21, 74, 106
• LCM of 52, 19, 861
• LCM of 39, 98, 991
• LCM of 89, 22, 959
• LCM of 71, 43, 856

1. What is the LCM of 67, 96, 538?

Answer: LCM of 67, 96, 538 is 1730208.

2. How to calculate the LCM of 67, 96, 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 67, 96, 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}.