Given numbers are 242,349,614,390

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

The LCM of 242,349,614,390 is 5056078170.

Find LCM of 242,349,614,390 with Prime Factorization

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

2 x 121 x 349 x 307 x 195 = 5056078170

Therefore, the lowest common multiple of 242,349,614,390 is 5056078170.

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.

242 x 349 x 614 x 390 = 20224312680

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.

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

349 : 1, 349

614 : 1, 2, 307, 614

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,349,614,390, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

349:349

614:2x 307

390:2x 3x 5x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20224312680/(1x4)

LCM = 20224312680/4

LCM = 5056078170

Thus, we can understand that the LCM of 242,349,614,390 is 5056078170.

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

• LCM of 159, 238, 193, 614
• LCM of 964, 976, 182, 491
• LCM of 733, 199, 612, 942
• LCM of 723, 146, 461, 298
• LCM of 405, 782, 867, 800

1. What is the LCM of 242, 349, 614, 390?

Answer: LCM of 242, 349, 614, 390 is 5056078170.

2. How to calculate the LCM of 242, 349, 614, 390?

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 242, 349, 614, 390.

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}.