Given numbers are 217,982,760,230,185

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

The LCM of 217,982,760,230,185 is 68910337720.

Find LCM of 217,982,760,230,185 with Prime Factorization

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

2 x 5 x 217 x 491 x 76 x 23 x 37 = 68910337720

Therefore, the lowest common multiple of 217,982,760,230,185 is 68910337720.

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.

217 x 982 x 760 x 230 x 185 = 6891033772000

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.

217 : 1, 7, 31, 217

982 : 1, 2, 491, 982

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,982,760,230,185, is 1.

Now, the common factors can be found like this.

217:7x 31

982:2x 491

760:2x 2x 2x 5x 19

230:2x 5x 23

185:5x 37

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 6891033772000/(1x100)

LCM = 6891033772000/100

LCM = 68910337720

Thus, we can understand that the LCM of 217,982,760,230,185 is 68910337720.

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

• LCM of 414, 785, 784, 544, 936
• LCM of 485, 578, 721, 368, 278
• LCM of 882, 361, 883, 681, 940
• LCM of 675, 263, 950, 272, 485
• LCM of 442, 297, 459, 231, 150

1. What is the LCM of 217, 982, 760, 230, 185?

Answer: LCM of 217, 982, 760, 230, 185 is 68910337720.

2. How to calculate the LCM of 217, 982, 760, 230, 185?

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 217, 982, 760, 230, 185.

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}.