Given numbers are 135,172,276,864,456

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

The LCM of 135,172,276,864,456 is 81177120.

Find LCM of 135,172,276,864,456 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 x 23 x 4 x 19 = 81177120

Therefore, the lowest common multiple of 135,172,276,864,456 is 81177120.

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.

135 x 172 x 276 x 864 x 456 = 2524933140480

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

172 : 1, 2, 4, 43, 86, 172

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,172,276,864,456, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

172:2x 2x 43

276:2x 2x 3x 23

864:2x 2x 2x 2x 2x 3x 3x 3

456:2x 2x 2x 3x 19

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 2x 2x 2x 2x 3x 3x 3x 3x 3 = 31104

Therefore, the value for common factors is 31104.

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 = 2524933140480/(1x31104)

LCM = 2524933140480/31104

LCM = 81177120

Thus, we can understand that the LCM of 135,172,276,864,456 is 81177120.

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

• LCM of 929, 105, 188, 914, 771
• LCM of 787, 524, 612, 663, 206
• LCM of 185, 808, 832, 849, 347
• LCM of 951, 665, 981, 191, 601
• LCM of 642, 580, 570, 170, 842

1. What is the LCM of 135, 172, 276, 864, 456?

Answer: LCM of 135, 172, 276, 864, 456 is 81177120.

2. How to calculate the LCM of 135, 172, 276, 864, 456?

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 135, 172, 276, 864, 456.

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}.