Given numbers are 318,129,276,289

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

The LCM of 318,129,276,289 is 181782156.

Find LCM of 318,129,276,289 with Prime Factorization

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

2 x 3 x 53 x 43 x 46 x 289 = 181782156

Therefore, the lowest common multiple of 318,129,276,289 is 181782156.

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.

318 x 129 x 276 x 289 = 3272078808

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

129 : 1, 3, 43, 129

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

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,129,276,289, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

129:3x 43

276:2x 2x 3x 23

289:17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3272078808/(1x18)

LCM = 3272078808/18

LCM = 181782156

Thus, we can understand that the LCM of 318,129,276,289 is 181782156.

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

• LCM of 354, 708, 276, 805
• LCM of 889, 829, 432, 642
• LCM of 118, 967, 367, 587
• LCM of 950, 573, 647, 110
• LCM of 179, 634, 883, 636

1. What is the LCM of 318, 129, 276, 289?

Answer: LCM of 318, 129, 276, 289 is 181782156.

2. How to calculate the LCM of 318, 129, 276, 289?

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 318, 129, 276, 289.

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}.