Given numbers are 728,577,880,993,248

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

The LCM of 728,577,880,993,248 is 1422364223280.

Find LCM of 728,577,880,993,248 with Prime Factorization

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

2 x 2 x 2 x 91 x 577 x 110 x 993 x 31 = 1422364223280

Therefore, the lowest common multiple of 728,577,880,993,248 is 1422364223280.

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 577 x 880 x 993 x 248 = 91031310289920

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

577 : 1, 577

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

993 : 1, 3, 331, 993

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,577,880,993,248, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

577:577

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

993:3x 331

248:2x 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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 91031310289920/(1x64)

LCM = 91031310289920/64

LCM = 1422364223280

Thus, we can understand that the LCM of 728,577,880,993,248 is 1422364223280.

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

• LCM of 658, 819, 408, 920, 928
• LCM of 104, 608, 959, 897, 138
• LCM of 333, 386, 885, 292, 643
• LCM of 168, 727, 996, 586, 669
• LCM of 372, 924, 726, 275, 166

1. What is the LCM of 728, 577, 880, 993, 248?

Answer: LCM of 728, 577, 880, 993, 248 is 1422364223280.

2. How to calculate the LCM of 728, 577, 880, 993, 248?

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, 577, 880, 993, 248.

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}.