Given numbers are 243,303,505,349

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

The LCM of 243,303,505,349 is 42827535.

Find LCM of 243,303,505,349 with Prime Factorization

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

3 x 101 x 81 x 1 x 5 x 349 = 42827535

Therefore, the lowest common multiple of 243,303,505,349 is 42827535.

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.

243 x 303 x 505 x 349 = 12976743105

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.

243 : 1, 3, 9, 27, 81, 243

303 : 1, 3, 101, 303

505 : 1, 5, 101, 505

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,303,505,349, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

303:3x 101

505:5x 101

349:349

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

3x 101 = 303

Therefore, the value for common factors is 303.

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 = 12976743105/(1x303)

LCM = 12976743105/303

LCM = 42827535

Thus, we can understand that the LCM of 243,303,505,349 is 42827535.

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

• LCM of 453, 643, 329, 114
• LCM of 338, 225, 635, 665
• LCM of 773, 863, 476, 683
• LCM of 818, 135, 794, 914
• LCM of 376, 535, 162, 740

1. What is the LCM of 243, 303, 505, 349?

Answer: LCM of 243, 303, 505, 349 is 42827535.

2. How to calculate the LCM of 243, 303, 505, 349?

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 243, 303, 505, 349.

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}.