Given numbers are 241,284,375,608

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

The LCM of 241,284,375,608 is 3901308000.

Find LCM of 241,284,375,608 with Prime Factorization

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

2 x 2 x 241 x 71 x 375 x 152 = 3901308000

Therefore, the lowest common multiple of 241,284,375,608 is 3901308000.

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.

241 x 284 x 375 x 608 = 15605232000

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.

241 : 1, 241

284 : 1, 2, 4, 71, 142, 284

375 : 1, 3, 5, 15, 25, 75, 125, 375

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,284,375,608, is 1.

Now, the common factors can be found like this.

241:241

284:2x 2x 71

375:3x 5x 5x 5

608:2x 2x 2x 2x 2x 19

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 = 15605232000/(1x4)

LCM = 15605232000/4

LCM = 3901308000

Thus, we can understand that the LCM of 241,284,375,608 is 3901308000.

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

• LCM of 309, 979, 663, 929
• LCM of 593, 855, 747, 405
• LCM of 126, 826, 981, 830
• LCM of 807, 770, 559, 989
• LCM of 267, 746, 211, 946

1. What is the LCM of 241, 284, 375, 608?

Answer: LCM of 241, 284, 375, 608 is 3901308000.

2. How to calculate the LCM of 241, 284, 375, 608?

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 241, 284, 375, 608.

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}.