Given numbers are 677,422,798,532,728

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

The LCM of 677,422,798,532,728 is 5927579112.

Find LCM of 677,422,798,532,728 with Prime Factorization

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

2 x 2 x 7 x 19 x 677 x 211 x 3 x 1 x 26 = 5927579112

Therefore, the lowest common multiple of 677,422,798,532,728 is 5927579112.

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.

677 x 422 x 798 x 532 x 728 = 88297218452352

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.

677 : 1, 677

422 : 1, 2, 211, 422

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 677,422,798,532,728, is 1.

Now, the common factors can be found like this.

677:677

422:2x 211

798:2x 3x 7x 19

532:2x 2x 7x 19

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 7x 7x 19 = 14896

Therefore, the value for common factors is 14896.

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 = 88297218452352/(1x14896)

LCM = 88297218452352/14896

LCM = 5927579112

Thus, we can understand that the LCM of 677,422,798,532,728 is 5927579112.

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

• LCM of 432, 360, 837, 871, 193
• LCM of 488, 536, 572, 929, 432
• LCM of 832, 680, 721, 414, 232
• LCM of 116, 282, 248, 211, 343
• LCM of 216, 236, 192, 206, 298

1. What is the LCM of 677, 422, 798, 532, 728?

Answer: LCM of 677, 422, 798, 532, 728 is 5927579112.

2. How to calculate the LCM of 677, 422, 798, 532, 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 677, 422, 798, 532, 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}.