Given numbers are 260,568,251,738,986

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

The LCM of 260,568,251,738,986 is 1685810285640.

Find LCM of 260,568,251,738,986 with Prime Factorization

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

2 x 2 x 65 x 142 x 251 x 369 x 493 = 1685810285640

Therefore, the lowest common multiple of 260,568,251,738,986 is 1685810285640.

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 568 x 251 x 738 x 986 = 26972964570240

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

251 : 1, 251

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,568,251,738,986, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

568:2x 2x 2x 71

251:251

738:2x 3x 3x 41

986:2x 17x 29

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 2 = 16

Therefore, the value for common factors is 16.

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 = 26972964570240/(1x16)

LCM = 26972964570240/16

LCM = 1685810285640

Thus, we can understand that the LCM of 260,568,251,738,986 is 1685810285640.

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

• LCM of 507, 274, 189, 927, 692
• LCM of 313, 112, 648, 156, 779
• LCM of 689, 210, 736, 742, 955
• LCM of 356, 434, 964, 490, 689
• LCM of 793, 517, 129, 925, 453

1. What is the LCM of 260, 568, 251, 738, 986?

Answer: LCM of 260, 568, 251, 738, 986 is 1685810285640.

2. How to calculate the LCM of 260, 568, 251, 738, 986?

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, 568, 251, 738, 986.

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}.