Given numbers are 257,260,452,681,728

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

The LCM of 257,260,452,681,728 is 71987992440.

Find LCM of 257,260,452,681,728 with Prime Factorization

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

2 x 2 x 13 x 257 x 5 x 113 x 681 x 14 = 71987992440

Therefore, the lowest common multiple of 257,260,452,681,728 is 71987992440.

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.

257 x 260 x 452 x 681 x 728 = 14973502427520

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.

257 : 1, 257

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

452 : 1, 2, 4, 113, 226, 452

681 : 1, 3, 227, 681

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 257,260,452,681,728, is 1.

Now, the common factors can be found like this.

257:257

260:2x 2x 5x 13

452:2x 2x 113

681:3x 227

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 13 = 208

Therefore, the value for common factors is 208.

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 = 14973502427520/(1x208)

LCM = 14973502427520/208

LCM = 71987992440

Thus, we can understand that the LCM of 257,260,452,681,728 is 71987992440.

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

• LCM of 186, 655, 727, 371, 838
• LCM of 535, 158, 782, 680, 702
• LCM of 384, 563, 954, 710, 340
• LCM of 122, 503, 828, 871, 615
• LCM of 194, 499, 290, 718, 770

1. What is the LCM of 257, 260, 452, 681, 728?

Answer: LCM of 257, 260, 452, 681, 728 is 71987992440.

2. How to calculate the LCM of 257, 260, 452, 681, 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 257, 260, 452, 681, 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}.