Given numbers are 507,135,448,728

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

The LCM of 507,135,448,728 is 10221120.

Find LCM of 507,135,448,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 1 x 45 x 8 x 13 = 10221120

Therefore, the lowest common multiple of 507,135,448,728 is 10221120.

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.

507 x 135 x 448 x 728 = 22322926080

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.

507 : 1, 3, 13, 39, 169, 507

135 : 1, 3, 5, 9, 15, 27, 45, 135

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,135,448,728, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

135:3x 3x 3x 5

448:2x 2x 2x 2x 2x 2x 7

728:2x 2x 2x 7x 13

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 2x 3x 7x 13 = 2184

Therefore, the value for common factors is 2184.

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 = 22322926080/(1x2184)

LCM = 22322926080/2184

LCM = 10221120

Thus, we can understand that the LCM of 507,135,448,728 is 10221120.

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

• LCM of 867, 978, 105, 429
• LCM of 978, 481, 576, 313
• LCM of 949, 308, 478, 572
• LCM of 582, 487, 930, 383
• LCM of 321, 544, 597, 238

1. What is the LCM of 507, 135, 448, 728?

Answer: LCM of 507, 135, 448, 728 is 10221120.

2. How to calculate the LCM of 507, 135, 448, 728?

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 507, 135, 448, 728.

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}.