Given numbers are 217,242,988,596,982

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

The LCM of 217,242,988,596,982 is 1897884632644.

Find LCM of 217,242,988,596,982 with Prime Factorization

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

2 x 2 x 217 x 121 x 247 x 149 x 491 = 1897884632644

Therefore, the lowest common multiple of 217,242,988,596,982 is 1897884632644.

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 242 x 988 x 596 x 982 = 30366154122304

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

242 : 1, 2, 11, 22, 121, 242

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

596 : 1, 2, 4, 149, 298, 596

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,242,988,596,982, is 1.

Now, the common factors can be found like this.

217:7x 31

242:2x 11x 11

988:2x 2x 13x 19

596:2x 2x 149

982:2x 491

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 2 = 16

Therefore, the value for common factors is 16.

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 = 30366154122304/(1x16)

LCM = 30366154122304/16

LCM = 1897884632644

Thus, we can understand that the LCM of 217,242,988,596,982 is 1897884632644.

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

• LCM of 850, 703, 311, 195, 229
• LCM of 386, 376, 887, 908, 288
• LCM of 279, 836, 470, 624, 131
• LCM of 552, 257, 135, 174, 111
• LCM of 735, 642, 404, 699, 307

1. What is the LCM of 217, 242, 988, 596, 982?

Answer: LCM of 217, 242, 988, 596, 982 is 1897884632644.

2. How to calculate the LCM of 217, 242, 988, 596, 982?

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, 242, 988, 596, 982.

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}.