Given numbers are 423,46,268

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

The LCM of 423,46,268 is 2607372.

Find LCM of 423,46,268 with Prime Factorization

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

2 x 423 x 23 x 134 = 2607372

Therefore, the lowest common multiple of 423,46,268 is 2607372.

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.

423 x 46 x 268 = 5214744

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.

423 : 1, 3, 9, 47, 141, 423

46 : 1, 2, 23, 46

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,46,268, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

46:2x 23

268:2x 2x 67

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 = 5214744/(1x2)

LCM = 5214744/2

LCM = 2607372

Thus, we can understand that the LCM of 423,46,268 is 2607372.

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

• LCM of 426, 90, 419
• LCM of 570, 84, 802
• LCM of 750, 27, 593
• LCM of 929, 39, 936
• LCM of 414, 80, 196

1. What is the LCM of 423, 46, 268?

Answer: LCM of 423, 46, 268 is 2607372.

2. How to calculate the LCM of 423, 46, 268?

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 423, 46, 268.

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}.