Given numbers are 544,788,988,728

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

The LCM of 544,788,988,728 is 185293472.

Find LCM of 544,788,988,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 68 x 197 x 19 x 7 = 185293472

Therefore, the lowest common multiple of 544,788,988,728 is 185293472.

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.

544 x 788 x 988 x 728 = 308328337408

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

788 : 1, 2, 4, 197, 394, 788

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,788,988,728, is 4.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

788:2x 2x 197

988:2x 2x 13x 19

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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 308328337408/(4x416)

LCM = 308328337408/1664

LCM = 185293472

Thus, we can understand that the LCM of 544,788,988,728 is 185293472.

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

• LCM of 735, 398, 615, 115
• LCM of 330, 469, 852, 509
• LCM of 265, 994, 890, 235
• LCM of 300, 158, 649, 604
• LCM of 891, 648, 446, 287

1. What is the LCM of 544, 788, 988, 728?

Answer: LCM of 544, 788, 988, 728 is 185293472.

2. How to calculate the LCM of 544, 788, 988, 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 544, 788, 988, 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}.