Given numbers are 241,319,241,400

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

The LCM of 241,319,241,400 is 30751600.

Find LCM of 241,319,241,400 with Prime Factorization

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

241 x 1 x 319 x 1 x 400 = 30751600

Therefore, the lowest common multiple of 241,319,241,400 is 30751600.

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 319 x 241 x 400 = 7411135600

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

319 : 1, 11, 29, 319

241 : 1, 241

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,319,241,400, is 1.

Now, the common factors can be found like this.

241:241

319:11x 29

241:241

400:2x 2x 2x 2x 5x 5

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

241 = 241

Therefore, the value for common factors is 241.

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 = 7411135600/(1x241)

LCM = 7411135600/241

LCM = 30751600

Thus, we can understand that the LCM of 241,319,241,400 is 30751600.

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

• LCM of 913, 391, 711, 506
• LCM of 810, 699, 678, 317
• LCM of 394, 624, 622, 483
• LCM of 901, 346, 819, 600
• LCM of 563, 530, 976, 935

1. What is the LCM of 241, 319, 241, 400?

Answer: LCM of 241, 319, 241, 400 is 30751600.

2. How to calculate the LCM of 241, 319, 241, 400?

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, 319, 241, 400.

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}.