Given numbers are 541,596,745,382

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

The LCM of 541,596,745,382 is 307926380.

Find LCM of 541,596,745,382 with Prime Factorization

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

2 x 149 x 541 x 2 x 5 x 191 = 307926380

Therefore, the lowest common multiple of 541,596,745,382 is 307926380.

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.

541 x 596 x 745 x 382 = 91762061240

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.

541 : 1, 541

596 : 1, 2, 4, 149, 298, 596

745 : 1, 5, 149, 745

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,596,745,382, is 1.

Now, the common factors can be found like this.

541:541

596:2x 2x 149

745:5x 149

382:2x 191

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 91762061240/(1x298)

LCM = 91762061240/298

LCM = 307926380

Thus, we can understand that the LCM of 541,596,745,382 is 307926380.

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

• LCM of 945, 962, 773, 476
• LCM of 623, 439, 954, 758
• LCM of 826, 227, 233, 520
• LCM of 883, 707, 686, 762
• LCM of 962, 902, 872, 667

1. What is the LCM of 541, 596, 745, 382?

Answer: LCM of 541, 596, 745, 382 is 307926380.

2. How to calculate the LCM of 541, 596, 745, 382?

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 541, 596, 745, 382.

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}.