Given numbers are 728,419,146,538

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

The LCM of 728,419,146,538 is 5989913384.

Find LCM of 728,419,146,538 with Prime Factorization

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

2 x 364 x 419 x 73 x 269 = 5989913384

Therefore, the lowest common multiple of 728,419,146,538 is 5989913384.

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.

728 x 419 x 146 x 538 = 23959653536

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.

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

419 : 1, 419

146 : 1, 2, 73, 146

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,419,146,538, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

419:419

146:2x 73

538:2x 269

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23959653536/(1x4)

LCM = 23959653536/4

LCM = 5989913384

Thus, we can understand that the LCM of 728,419,146,538 is 5989913384.

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

• LCM of 970, 356, 877, 303
• LCM of 119, 219, 165, 639
• LCM of 954, 718, 301, 936
• LCM of 295, 481, 674, 160
• LCM of 862, 822, 378, 431

1. What is the LCM of 728, 419, 146, 538?

Answer: LCM of 728, 419, 146, 538 is 5989913384.

2. How to calculate the LCM of 728, 419, 146, 538?

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 728, 419, 146, 538.

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}.