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LCM of 197, 789, 526, 511, 711

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 197, 789, 526, 511, 711 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 197, 789, 526, 511, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,789,526,511,711

Given numbers are 197,789,526,511,711

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

The LCM of 197,789,526,511,711 is 37648048662.

Find LCM of 197,789,526,511,711 with Prime Factorization


3 197, 789, 526, 511, 711
263 197, 263, 526, 511, 237
197, 1, 2, 511, 237

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

3 x 263 x 197 x 1 x 2 x 511 x 237 = 37648048662

Therefore, the lowest common multiple of 197,789,526,511,711 is 37648048662.

LCM Formula to Find Lowest Common Multiple of 197,789,526,511,711

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.

197 x 789 x 526 x 511 x 711 = 29704310394318

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.

197 : 1, 197

789 : 1, 3, 263, 789

526 : 1, 2, 263, 526

511 : 1, 7, 73, 511

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,789,526,511,711, is 1.

Now, the common factors can be found like this.

197:197

789:3x 263

526:2x 263

511:7x 73

711:3x 3x 79

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

3x 263 = 789

Therefore, the value for common factors is 789.

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 = 29704310394318/(1x789)

LCM = 29704310394318/789

LCM = 37648048662

Thus, we can understand that the LCM of 197,789,526,511,711 is 37648048662.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 789, 526, 511, 711

1. What is the LCM of 197, 789, 526, 511, 711?

Answer: LCM of 197, 789, 526, 511, 711 is 37648048662.

2. How to calculate the LCM of 197, 789, 526, 511, 711?

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 197, 789, 526, 511, 711.

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}.