Given numbers are 260,968,828,176,398

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

The LCM of 260,968,828,176,398 is 5183727120.

Find LCM of 260,968,828,176,398 with Prime Factorization

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

2 x 2 x 2 x 11 x 65 x 11 x 207 x 2 x 199 = 5183727120

Therefore, the lowest common multiple of 260,968,828,176,398 is 5183727120.

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.

260 x 968 x 828 x 176 x 398 = 14597375569920

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.

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,968,828,176,398, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

968:2x 2x 2x 11x 11

828:2x 2x 3x 3x 23

176:2x 2x 2x 2x 11

398:2x 199

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 2x 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 14597375569920/(2x1408)

LCM = 14597375569920/2816

LCM = 5183727120

Thus, we can understand that the LCM of 260,968,828,176,398 is 5183727120.

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

• LCM of 631, 895, 967, 117, 789
• LCM of 468, 925, 413, 418, 200
• LCM of 182, 657, 701, 584, 510
• LCM of 403, 235, 954, 760, 861
• LCM of 763, 799, 895, 844, 449

1. What is the LCM of 260, 968, 828, 176, 398?

Answer: LCM of 260, 968, 828, 176, 398 is 5183727120.

2. How to calculate the LCM of 260, 968, 828, 176, 398?

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 260, 968, 828, 176, 398.

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}.