Given numbers are 790,124,660,821,728

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

The LCM of 790,124,660,821,728 is 241516755480.

Find LCM of 790,124,660,821,728 with Prime Factorization

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

2 x 2 x 5 x 79 x 31 x 33 x 821 x 182 = 241516755480

Therefore, the lowest common multiple of 790,124,660,821,728 is 241516755480.

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.

790 x 124 x 660 x 821 x 728 = 38642680876800

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

821 : 1, 821

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,124,660,821,728, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

124:2x 2x 31

660:2x 2x 3x 5x 11

821:821

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 5 = 160

Therefore, the value for common factors is 160.

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 = 38642680876800/(1x160)

LCM = 38642680876800/160

LCM = 241516755480

Thus, we can understand that the LCM of 790,124,660,821,728 is 241516755480.

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

• LCM of 358, 889, 765, 105, 891
• LCM of 834, 761, 673, 831, 611
• LCM of 917, 928, 791, 119, 695
• LCM of 980, 287, 325, 265, 197
• LCM of 611, 200, 962, 893, 430

1. What is the LCM of 790, 124, 660, 821, 728?

Answer: LCM of 790, 124, 660, 821, 728 is 241516755480.

2. How to calculate the LCM of 790, 124, 660, 821, 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 790, 124, 660, 821, 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}.