Given numbers are 260,469,689,363

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

The LCM of 260,469,689,363 is 2346003660.

Find LCM of 260,469,689,363 with Prime Factorization

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

13 x 20 x 469 x 53 x 363 = 2346003660

Therefore, the lowest common multiple of 260,469,689,363 is 2346003660.

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 469 x 689 x 363 = 30498047580

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

469 : 1, 7, 67, 469

689 : 1, 13, 53, 689

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,469,689,363, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

469:7x 67

689:13x 53

363:3x 11x 11

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

13 = 13

Therefore, the value for common factors is 13.

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 = 30498047580/(1x13)

LCM = 30498047580/13

LCM = 2346003660

Thus, we can understand that the LCM of 260,469,689,363 is 2346003660.

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

• LCM of 976, 597, 951, 976
• LCM of 290, 697, 347, 249
• LCM of 713, 878, 329, 375
• LCM of 180, 927, 386, 916
• LCM of 917, 583, 857, 386

1. What is the LCM of 260, 469, 689, 363?

Answer: LCM of 260, 469, 689, 363 is 2346003660.

2. How to calculate the LCM of 260, 469, 689, 363?

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, 469, 689, 363.

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}.