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LCM of 787, 361, 729, 711

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


Find the LCM of 787, 361, 729, 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 787, 361, 729, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,361,729,711

Given numbers are 787,361,729,711

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

The LCM of 787,361,729,711 is 16362006237.

Find LCM of 787,361,729,711 with Prime Factorization


3 787, 361, 729, 711
3 787, 361, 243, 237
787, 361, 81, 79

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

3 x 3 x 787 x 361 x 81 x 79 = 16362006237

Therefore, the lowest common multiple of 787,361,729,711 is 16362006237.

LCM Formula to Find Lowest Common Multiple of 787,361,729,711

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.

787 x 361 x 729 x 711 = 147258056133

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.

787 : 1, 787

361 : 1, 19, 361

729 : 1, 3, 9, 27, 81, 243, 729

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 787,361,729,711, is 1.

Now, the common factors can be found like this.

787:787

361:19x 19

729:3x 3x 3x 3x 3x 3

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 3 = 9

Therefore, the value for common factors is 9.

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 = 147258056133/(1x9)

LCM = 147258056133/9

LCM = 16362006237

Thus, we can understand that the LCM of 787,361,729,711 is 16362006237.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 361, 729, 711

1. What is the LCM of 787, 361, 729, 711?

Answer: LCM of 787, 361, 729, 711 is 16362006237.

2. How to calculate the LCM of 787, 361, 729, 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 787, 361, 729, 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}.