Given numbers are 728,770,374,930,774

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

The LCM of 728,770,374,930,774 is 8166117960.

Find LCM of 728,770,374,930,774 with Prime Factorization

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

2 x 3 x 5 x 7 x 11 x 52 x 1 x 17 x 31 x 129 = 8166117960

Therefore, the lowest common multiple of 728,770,374,930,774 is 8166117960.

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 770 x 374 x 930 x 774 = 150909859900800

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

374 : 1, 2, 11, 17, 22, 34, 187, 374

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,770,374,930,774, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

770:2x 5x 7x 11

374:2x 11x 17

930:2x 3x 5x 31

774:2x 3x 3x 43

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 3x 5x 7x 11 = 9240

Therefore, the value for common factors is 9240.

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 = 150909859900800/(2x9240)

LCM = 150909859900800/18480

LCM = 8166117960

Thus, we can understand that the LCM of 728,770,374,930,774 is 8166117960.

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

• LCM of 693, 375, 484, 910, 700
• LCM of 999, 375, 298, 880, 388
• LCM of 548, 804, 440, 805, 394
• LCM of 988, 784, 141, 844, 563
• LCM of 869, 960, 569, 327, 236

1. What is the LCM of 728, 770, 374, 930, 774?

Answer: LCM of 728, 770, 374, 930, 774 is 8166117960.

2. How to calculate the LCM of 728, 770, 374, 930, 774?

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, 770, 374, 930, 774.

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}.