Given numbers are 243,936,681,417,399

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

The LCM of 243,936,681,417,399 is 106055186328.

Find LCM of 243,936,681,417,399 with Prime Factorization

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

3 x 3 x 27 x 104 x 227 x 139 x 133 = 106055186328

Therefore, the lowest common multiple of 243,936,681,417,399 is 106055186328.

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.

243 x 936 x 681 x 417 x 399 = 25771410277704

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.

243 : 1, 3, 9, 27, 81, 243

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

681 : 1, 3, 227, 681

417 : 1, 3, 139, 417

399 : 1, 3, 7, 19, 21, 57, 133, 399

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,936,681,417,399, is 3.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

936:2x 2x 2x 3x 3x 13

681:3x 227

417:3x 139

399:3x 7x 19

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 25771410277704/(3x81)

LCM = 25771410277704/243

LCM = 106055186328

Thus, we can understand that the LCM of 243,936,681,417,399 is 106055186328.

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

• LCM of 594, 627, 475, 611, 192
• LCM of 859, 330, 414, 459, 170
• LCM of 915, 662, 696, 613, 975
• LCM of 139, 918, 720, 424, 580
• LCM of 623, 802, 378, 722, 936

1. What is the LCM of 243, 936, 681, 417, 399?

Answer: LCM of 243, 936, 681, 417, 399 is 106055186328.

2. How to calculate the LCM of 243, 936, 681, 417, 399?

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 243, 936, 681, 417, 399.

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}.