Given numbers are 728,429,971,195,687

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

The LCM of 728,429,971,195,687 is 26709763080.

Find LCM of 728,429,971,195,687 with Prime Factorization

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

3 x 13 x 56 x 11 x 971 x 5 x 229 = 26709763080

Therefore, the lowest common multiple of 728,429,971,195,687 is 26709763080.

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 429 x 971 x 195 x 687 = 40625549644680

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

971 : 1, 971

195 : 1, 3, 5, 13, 15, 39, 65, 195

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,429,971,195,687, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

429:3x 11x 13

971:971

195:3x 5x 13

687:3x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 13x 13 = 1521

Therefore, the value for common factors is 1521.

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 = 40625549644680/(1x1521)

LCM = 40625549644680/1521

LCM = 26709763080

Thus, we can understand that the LCM of 728,429,971,195,687 is 26709763080.

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

• LCM of 773, 206, 214, 425, 577
• LCM of 794, 253, 663, 780, 485
• LCM of 263, 122, 380, 228, 988
• LCM of 524, 558, 159, 969, 242
• LCM of 751, 642, 479, 739, 977

1. What is the LCM of 728, 429, 971, 195, 687?

Answer: LCM of 728, 429, 971, 195, 687 is 26709763080.

2. How to calculate the LCM of 728, 429, 971, 195, 687?

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, 429, 971, 195, 687.

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}.