Given numbers are 864,274,388,389,242

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

The LCM of 864,274,388,389,242 is 540431949024.

Find LCM of 864,274,388,389,242 with Prime Factorization

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

2 x 2 x 216 x 137 x 97 x 389 x 121 = 540431949024

Therefore, the lowest common multiple of 864,274,388,389,242 is 540431949024.

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.

864 x 274 x 388 x 389 x 242 = 8646911184384

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

274 : 1, 2, 137, 274

388 : 1, 2, 4, 97, 194, 388

389 : 1, 389

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,274,388,389,242, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

274:2x 137

388:2x 2x 97

389:389

242:2x 11x 11

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 = 8646911184384/(1x16)

LCM = 8646911184384/16

LCM = 540431949024

Thus, we can understand that the LCM of 864,274,388,389,242 is 540431949024.

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

• LCM of 354, 727, 673, 604, 550
• LCM of 564, 733, 526, 210, 353
• LCM of 653, 240, 280, 510, 682
• LCM of 931, 756, 659, 288, 883
• LCM of 345, 956, 831, 655, 242

1. What is the LCM of 864, 274, 388, 389, 242?

Answer: LCM of 864, 274, 388, 389, 242 is 540431949024.

2. How to calculate the LCM of 864, 274, 388, 389, 242?

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 864, 274, 388, 389, 242.

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}.