Given numbers are 728,948,546,880

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

The LCM of 728,948,546,880 is 18978960.

Find LCM of 728,948,546,880 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 79 x 1 x 110 = 18978960

Therefore, the lowest common multiple of 728,948,546,880 is 18978960.

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 948 x 546 x 880 = 331600389120

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

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,948,546,880, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

948:2x 2x 3x 79

546:2x 3x 7x 13

880:2x 2x 2x 2x 5x 11

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 3x 7x 13 = 8736

Therefore, the value for common factors is 8736.

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 = 331600389120/(2x8736)

LCM = 331600389120/17472

LCM = 18978960

Thus, we can understand that the LCM of 728,948,546,880 is 18978960.

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

• LCM of 562, 437, 500, 275
• LCM of 558, 782, 966, 595
• LCM of 273, 954, 916, 909
• LCM of 701, 813, 354, 674
• LCM of 431, 720, 843, 536

1. What is the LCM of 728, 948, 546, 880?

Answer: LCM of 728, 948, 546, 880 is 18978960.

2. How to calculate the LCM of 728, 948, 546, 880?

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, 948, 546, 880.

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}.