Given numbers are 272,68,233

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

The LCM of 272,68,233 is 63376.

Find LCM of 272,68,233 with Prime Factorization

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

2 x 2 x 17 x 4 x 1 x 233 = 63376

Therefore, the lowest common multiple of 272,68,233 is 63376.

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.

272 x 68 x 233 = 4309568

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

68 : 1, 2, 4, 17, 34, 68

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,68,233, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

68:2x 2x 17

233:233

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 17 = 68

Therefore, the value for common factors is 68.

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 = 4309568/(1x68)

LCM = 4309568/68

LCM = 63376

Thus, we can understand that the LCM of 272,68,233 is 63376.

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

• LCM of 759, 10, 645
• LCM of 223, 21, 709
• LCM of 937, 53, 936
• LCM of 185, 84, 464
• LCM of 456, 36, 600

1. What is the LCM of 272, 68, 233?

Answer: LCM of 272, 68, 233 is 63376.

2. How to calculate the LCM of 272, 68, 233?

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 272, 68, 233.

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}.