Given numbers are 513,663,178,638,336

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

The LCM of 513,663,178,638,336 is 360502558416.

Find LCM of 513,663,178,638,336 with Prime Factorization

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

2 x 3 x 171 x 221 x 89 x 319 x 56 = 360502558416

Therefore, the lowest common multiple of 513,663,178,638,336 is 360502558416.

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 663 x 178 x 638 x 336 = 12978092102976

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

663 : 1, 3, 13, 17, 39, 51, 221, 663

178 : 1, 2, 89, 178

638 : 1, 2, 11, 22, 29, 58, 319, 638

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,663,178,638,336, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

663:3x 13x 17

178:2x 89

638:2x 11x 29

336:2x 2x 2x 2x 3x 7

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 12978092102976/(1x36)

LCM = 12978092102976/36

LCM = 360502558416

Thus, we can understand that the LCM of 513,663,178,638,336 is 360502558416.

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

• LCM of 363, 705, 341, 645, 350
• LCM of 301, 628, 672, 945, 986
• LCM of 876, 813, 899, 401, 117
• LCM of 761, 998, 369, 594, 736
• LCM of 912, 290, 273, 624, 778

1. What is the LCM of 513, 663, 178, 638, 336?

Answer: LCM of 513, 663, 178, 638, 336 is 360502558416.

2. How to calculate the LCM of 513, 663, 178, 638, 336?

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, 663, 178, 638, 336.

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}.