Given numbers are 728,414,443,124

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

The LCM of 728,414,443,124 is 2069508168.

Find LCM of 728,414,443,124 with Prime Factorization

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

2 x 2 x 182 x 207 x 443 x 31 = 2069508168

Therefore, the lowest common multiple of 728,414,443,124 is 2069508168.

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 414 x 443 x 124 = 16556065344

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

443 : 1, 443

124 : 1, 2, 4, 31, 62, 124

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,414,443,124, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

414:2x 3x 3x 23

443:443

124:2x 2x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16556065344/(1x8)

LCM = 16556065344/8

LCM = 2069508168

Thus, we can understand that the LCM of 728,414,443,124 is 2069508168.

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

• LCM of 291, 238, 723, 470
• LCM of 591, 577, 143, 287
• LCM of 355, 386, 688, 160
• LCM of 968, 603, 806, 743
• LCM of 374, 972, 978, 568

1. What is the LCM of 728, 414, 443, 124?

Answer: LCM of 728, 414, 443, 124 is 2069508168.

2. How to calculate the LCM of 728, 414, 443, 124?

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, 414, 443, 124.

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}.