Given numbers are 513,986,546,412,242

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

The LCM of 513,986,546,412,242 is 1147329771588.

Find LCM of 513,986,546,412,242 with Prime Factorization

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

2 x 3 x 171 x 493 x 91 x 206 x 121 = 1147329771588

Therefore, the lowest common multiple of 513,986,546,412,242 is 1147329771588.

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.

513 x 986 x 546 x 412 x 242 = 27535914518112

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

412 : 1, 2, 4, 103, 206, 412

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,986,546,412,242, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

986:2x 17x 29

546:2x 3x 7x 13

412:2x 2x 103

242:2x 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.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 27535914518112/(1x24)

LCM = 27535914518112/24

LCM = 1147329771588

Thus, we can understand that the LCM of 513,986,546,412,242 is 1147329771588.

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

• LCM of 350, 532, 272, 952, 296
• LCM of 996, 310, 539, 101, 308
• LCM of 784, 321, 134, 480, 249
• LCM of 671, 927, 700, 346, 916
• LCM of 543, 759, 458, 237, 586

1. What is the LCM of 513, 986, 546, 412, 242?

Answer: LCM of 513, 986, 546, 412, 242 is 1147329771588.

2. How to calculate the LCM of 513, 986, 546, 412, 242?

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 513, 986, 546, 412, 242.

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}.