Given numbers are 171,357,526,104,228

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

The LCM of 171,357,526,104,228 is 556585848.

Find LCM of 171,357,526,104,228 with Prime Factorization

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

2 x 2 x 3 x 19 x 1 x 119 x 263 x 26 x 3 = 556585848

Therefore, the lowest common multiple of 171,357,526,104,228 is 556585848.

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.

171 x 357 x 526 x 104 x 228 = 761409440064

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.

171 : 1, 3, 9, 19, 57, 171

357 : 1, 3, 7, 17, 21, 51, 119, 357

526 : 1, 2, 263, 526

104 : 1, 2, 4, 8, 13, 26, 52, 104

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,357,526,104,228, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

357:3x 7x 17

526:2x 263

104:2x 2x 2x 13

228:2x 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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 761409440064/(1x1368)

LCM = 761409440064/1368

LCM = 556585848

Thus, we can understand that the LCM of 171,357,526,104,228 is 556585848.

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

• LCM of 894, 373, 785, 923, 385
• LCM of 744, 228, 159, 696, 288
• LCM of 629, 453, 276, 769, 423
• LCM of 127, 227, 996, 253, 839
• LCM of 562, 708, 700, 583, 185

1. What is the LCM of 171, 357, 526, 104, 228?

Answer: LCM of 171, 357, 526, 104, 228 is 556585848.

2. How to calculate the LCM of 171, 357, 526, 104, 228?

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 171, 357, 526, 104, 228.

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}.