Given numbers are 288,541,474,582,393

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

The LCM of 288,541,474,582,393 is 156408328224.

Find LCM of 288,541,474,582,393 with Prime Factorization

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

2 x 3 x 48 x 541 x 79 x 97 x 131 = 156408328224

Therefore, the lowest common multiple of 288,541,474,582,393 is 156408328224.

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.

288 x 541 x 474 x 582 x 393 = 16892099448192

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

541 : 1, 541

474 : 1, 2, 3, 6, 79, 158, 237, 474

582 : 1, 2, 3, 6, 97, 194, 291, 582

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,541,474,582,393, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

541:541

474:2x 3x 79

582:2x 3x 97

393:3x 131

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

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 16892099448192/(1x108)

LCM = 16892099448192/108

LCM = 156408328224

Thus, we can understand that the LCM of 288,541,474,582,393 is 156408328224.

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

• LCM of 792, 534, 106, 691, 271
• LCM of 684, 866, 335, 234, 593
• LCM of 391, 922, 210, 198, 675
• LCM of 580, 637, 940, 506, 390
• LCM of 693, 910, 166, 231, 157

1. What is the LCM of 288, 541, 474, 582, 393?

Answer: LCM of 288, 541, 474, 582, 393 is 156408328224.

2. How to calculate the LCM of 288, 541, 474, 582, 393?

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 288, 541, 474, 582, 393.

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}.