Given numbers are 272,276,102,23

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

The LCM of 272,276,102,23 is 18768.

Find LCM of 272,276,102,23 with Prime Factorization

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

2 x 2 x 3 x 17 x 23 x 4 x 1 x 1 x 1 = 18768

Therefore, the lowest common multiple of 272,276,102,23 is 18768.

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 276 x 102 x 23 = 176118912

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

102 : 1, 2, 3, 6, 17, 34, 51, 102

23 : 1, 23

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,276,102,23, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

276:2x 2x 3x 23

102:2x 3x 17

23:23

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 2x 3x 17x 23 = 9384

Therefore, the value for common factors is 9384.

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 = 176118912/(1x9384)

LCM = 176118912/9384

LCM = 18768

Thus, we can understand that the LCM of 272,276,102,23 is 18768.

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

• LCM of 453, 234, 823, 34
• LCM of 645, 649, 736, 51
• LCM of 661, 656, 147, 54
• LCM of 908, 929, 634, 41
• LCM of 662, 758, 506, 18

1. What is the LCM of 272, 276, 102, 23?

Answer: LCM of 272, 276, 102, 23 is 18768.

2. How to calculate the LCM of 272, 276, 102, 23?

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, 276, 102, 23.

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}.