Given numbers are 981,657,486,144,291

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

The LCM of 981,657,486,144,291 is 3000871152.

Find LCM of 981,657,486,144,291 with Prime Factorization

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

2 x 3 x 3 x 109 x 73 x 27 x 8 x 97 = 3000871152

Therefore, the lowest common multiple of 981,657,486,144,291 is 3000871152.

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.

981 x 657 x 486 x 144 x 291 = 13125810418848

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.

981 : 1, 3, 9, 109, 327, 981

657 : 1, 3, 9, 73, 219, 657

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

291 : 1, 3, 97, 291

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,657,486,144,291, is 3.

Now, the common factors can be found like this.

981:3x 3x 109

657:3x 3x 73

486:2x 3x 3x 3x 3x 3

144:2x 2x 2x 2x 3x 3

291:3x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3x 3 = 1458

Therefore, the value for common factors is 1458.

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 = 13125810418848/(3x1458)

LCM = 13125810418848/4374

LCM = 3000871152

Thus, we can understand that the LCM of 981,657,486,144,291 is 3000871152.

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

• LCM of 538, 457, 613, 871, 176
• LCM of 702, 656, 790, 908, 767
• LCM of 431, 583, 641, 954, 643
• LCM of 580, 221, 957, 658, 890
• LCM of 257, 295, 485, 603, 418

1. What is the LCM of 981, 657, 486, 144, 291?

Answer: LCM of 981, 657, 486, 144, 291 is 3000871152.

2. How to calculate the LCM of 981, 657, 486, 144, 291?

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 981, 657, 486, 144, 291.

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}.