Given numbers are 102,159,592,115,238

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

The LCM of 102,159,592,115,238 is 1288141680.

Find LCM of 102,159,592,115,238 with Prime Factorization

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

2 x 3 x 17 x 1 x 53 x 296 x 115 x 7 = 1288141680

Therefore, the lowest common multiple of 102,159,592,115,238 is 1288141680.

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.

102 x 159 x 592 x 115 x 238 = 262780902720

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.

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

159 : 1, 3, 53, 159

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

115 : 1, 5, 23, 115

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,159,592,115,238, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

159:3x 53

592:2x 2x 2x 2x 37

115:5x 23

238:2x 7x 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 2x 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 262780902720/(1x204)

LCM = 262780902720/204

LCM = 1288141680

Thus, we can understand that the LCM of 102,159,592,115,238 is 1288141680.

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

• LCM of 860, 836, 156, 711, 996
• LCM of 837, 903, 374, 462, 651
• LCM of 554, 634, 696, 910, 163
• LCM of 816, 883, 477, 948, 441
• LCM of 740, 673, 373, 296, 850

1. What is the LCM of 102, 159, 592, 115, 238?

Answer: LCM of 102, 159, 592, 115, 238 is 1288141680.

2. How to calculate the LCM of 102, 159, 592, 115, 238?

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 102, 159, 592, 115, 238.

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}.