Given numbers are 461,484,363,541

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

The LCM of 461,484,363,541 is 362130252.

Find LCM of 461,484,363,541 with Prime Factorization

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

11 x 11 x 461 x 4 x 3 x 541 = 362130252

Therefore, the lowest common multiple of 461,484,363,541 is 362130252.

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.

461 x 484 x 363 x 541 = 43817760492

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.

461 : 1, 461

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

363 : 1, 3, 11, 33, 121, 363

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,484,363,541, is 1.

Now, the common factors can be found like this.

461:461

484:2x 2x 11x 11

363:3x 11x 11

541:541

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 43817760492/(1x121)

LCM = 43817760492/121

LCM = 362130252

Thus, we can understand that the LCM of 461,484,363,541 is 362130252.

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

• LCM of 679, 421, 334, 925
• LCM of 987, 239, 114, 668
• LCM of 856, 914, 737, 208
• LCM of 301, 912, 199, 656
• LCM of 538, 335, 283, 863

1. What is the LCM of 461, 484, 363, 541?

Answer: LCM of 461, 484, 363, 541 is 362130252.

2. How to calculate the LCM of 461, 484, 363, 541?

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 461, 484, 363, 541.

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}.