Given numbers are 132,308,198,543,717

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

The LCM of 132,308,198,543,717 is 119913948.

Find LCM of 132,308,198,543,717 with Prime Factorization

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

2 x 2 x 3 x 11 x 1 x 7 x 3 x 181 x 239 = 119913948

Therefore, the lowest common multiple of 132,308,198,543,717 is 119913948.

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.

132 x 308 x 198 x 543 x 717 = 3134070944928

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

543 : 1, 3, 181, 543

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,308,198,543,717, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

308:2x 2x 7x 11

198:2x 3x 3x 11

543:3x 181

717:3x 239

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 3x 3x 3x 11x 11 = 26136

Therefore, the value for common factors is 26136.

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 = 3134070944928/(1x26136)

LCM = 3134070944928/26136

LCM = 119913948

Thus, we can understand that the LCM of 132,308,198,543,717 is 119913948.

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

• LCM of 509, 978, 258, 846, 477
• LCM of 388, 942, 875, 142, 941
• LCM of 463, 933, 397, 254, 583
• LCM of 412, 940, 406, 545, 885
• LCM of 807, 964, 800, 570, 920

1. What is the LCM of 132, 308, 198, 543, 717?

Answer: LCM of 132, 308, 198, 543, 717 is 119913948.

2. How to calculate the LCM of 132, 308, 198, 543, 717?

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 132, 308, 198, 543, 717.

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}.