Given numbers are 238,230,648,845,170

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

The LCM of 238,230,648,845,170 is 1498671720.

Find LCM of 238,230,648,845,170 with Prime Factorization

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

2 x 5 x 17 x 7 x 23 x 324 x 169 x 1 = 1498671720

Therefore, the lowest common multiple of 238,230,648,845,170 is 1498671720.

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.

238 x 230 x 648 x 845 x 170 = 5095483848000

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.

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

845 : 1, 5, 13, 65, 169, 845

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,230,648,845,170, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

230:2x 5x 23

648:2x 2x 2x 3x 3x 3x 3

845:5x 13x 13

170:2x 5x 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 2x 5x 5x 17 = 3400

Therefore, the value for common factors is 3400.

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 = 5095483848000/(1x3400)

LCM = 5095483848000/3400

LCM = 1498671720

Thus, we can understand that the LCM of 238,230,648,845,170 is 1498671720.

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

• LCM of 816, 711, 359, 343, 384
• LCM of 644, 974, 217, 370, 358
• LCM of 582, 850, 931, 663, 663
• LCM of 929, 930, 412, 527, 562
• LCM of 885, 429, 374, 312, 732

1. What is the LCM of 238, 230, 648, 845, 170?

Answer: LCM of 238, 230, 648, 845, 170 is 1498671720.

2. How to calculate the LCM of 238, 230, 648, 845, 170?

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 238, 230, 648, 845, 170.

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}.