Given numbers are 728,626,908,122,868

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

The LCM of 728,626,908,122,868 is 97812217048.

Find LCM of 728,626,908,122,868 with Prime Factorization

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

2 x 2 x 7 x 26 x 313 x 227 x 61 x 31 = 97812217048

Therefore, the lowest common multiple of 728,626,908,122,868 is 97812217048.

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 626 x 908 x 122 x 868 = 43819873237504

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

626 : 1, 2, 313, 626

908 : 1, 2, 4, 227, 454, 908

122 : 1, 2, 61, 122

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,626,908,122,868, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

626:2x 313

908:2x 2x 227

122:2x 61

868:2x 2x 7x 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 7 = 224

Therefore, the value for common factors is 224.

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 = 43819873237504/(2x224)

LCM = 43819873237504/448

LCM = 97812217048

Thus, we can understand that the LCM of 728,626,908,122,868 is 97812217048.

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

• LCM of 581, 493, 131, 397, 957
• LCM of 293, 677, 575, 656, 968
• LCM of 171, 753, 123, 402, 376
• LCM of 211, 624, 398, 350, 185
• LCM of 746, 493, 487, 986, 738

1. What is the LCM of 728, 626, 908, 122, 868?

Answer: LCM of 728, 626, 908, 122, 868 is 97812217048.

2. How to calculate the LCM of 728, 626, 908, 122, 868?

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, 626, 908, 122, 868.

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}.