Given numbers are 381,517,305,242

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

The LCM of 381,517,305,242 is 1321715670.

Find LCM of 381,517,305,242 with Prime Factorization

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

11 x 381 x 47 x 305 x 22 = 1321715670

Therefore, the lowest common multiple of 381,517,305,242 is 1321715670.

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.

381 x 517 x 305 x 242 = 14538872370

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.

381 : 1, 3, 127, 381

517 : 1, 11, 47, 517

305 : 1, 5, 61, 305

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 381,517,305,242, is 1.

Now, the common factors can be found like this.

381:3x 127

517:11x 47

305:5x 61

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.

11 = 11

Therefore, the value for common factors is 11.

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 = 14538872370/(1x11)

LCM = 14538872370/11

LCM = 1321715670

Thus, we can understand that the LCM of 381,517,305,242 is 1321715670.

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

• LCM of 325, 383, 391, 681
• LCM of 960, 657, 424, 128
• LCM of 483, 156, 903, 251
• LCM of 386, 284, 210, 612
• LCM of 297, 452, 771, 139

1. What is the LCM of 381, 517, 305, 242?

Answer: LCM of 381, 517, 305, 242 is 1321715670.

2. How to calculate the LCM of 381, 517, 305, 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 381, 517, 305, 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}.