Given numbers are 513,460,988,192,194

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

The LCM of 513,460,988,192,194 is 4761132480.

Find LCM of 513,460,988,192,194 with Prime Factorization

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

2 x 2 x 3 x 19 x 9 x 115 x 13 x 16 x 97 = 4761132480

Therefore, the lowest common multiple of 513,460,988,192,194 is 4761132480.

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 460 x 988 x 192 x 194 = 8684305643520

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,460,988,192,194, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

460:2x 2x 5x 23

988:2x 2x 13x 19

192:2x 2x 2x 2x 2x 2x 3

194:2x 97

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 3x 19 = 1824

Therefore, the value for common factors is 1824.

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 = 8684305643520/(1x1824)

LCM = 8684305643520/1824

LCM = 4761132480

Thus, we can understand that the LCM of 513,460,988,192,194 is 4761132480.

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

• LCM of 486, 493, 724, 654, 689
• LCM of 539, 352, 314, 791, 733
• LCM of 829, 185, 637, 973, 983
• LCM of 519, 635, 556, 853, 767
• LCM of 588, 672, 207, 486, 428

1. What is the LCM of 513, 460, 988, 192, 194?

Answer: LCM of 513, 460, 988, 192, 194 is 4761132480.

2. How to calculate the LCM of 513, 460, 988, 192, 194?

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, 460, 988, 192, 194.

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}.