Given numbers are 260,676,571,828,677

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

The LCM of 260,676,571,828,677 is 270465467220.

Find LCM of 260,676,571,828,677 with Prime Factorization

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

2 x 2 x 13 x 5 x 13 x 571 x 207 x 677 = 270465467220

Therefore, the lowest common multiple of 260,676,571,828,677 is 270465467220.

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 676 x 571 x 828 x 677 = 56256817181760

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

571 : 1, 571

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

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,676,571,828,677, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

676:2x 2x 13x 13

571:571

828:2x 2x 3x 3x 23

677:677

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 = 56256817181760/(1x208)

LCM = 56256817181760/208

LCM = 270465467220

Thus, we can understand that the LCM of 260,676,571,828,677 is 270465467220.

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

• LCM of 423, 822, 942, 683, 189
• LCM of 539, 720, 266, 546, 834
• LCM of 512, 451, 787, 138, 352
• LCM of 357, 958, 909, 308, 392
• LCM of 461, 314, 953, 196, 656

1. What is the LCM of 260, 676, 571, 828, 677?

Answer: LCM of 260, 676, 571, 828, 677 is 270465467220.

2. How to calculate the LCM of 260, 676, 571, 828, 677?

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, 676, 571, 828, 677.

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}.