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LCM of 681, 713, 665, 958, 775

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


Find the LCM of 681, 713, 665, 958, 775 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 681, 713, 665, 958, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,713,665,958,775

Given numbers are 681,713,665,958,775

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

The LCM of 681,713,665,958,775 is 1546656248550.

Find LCM of 681,713,665,958,775 with Prime Factorization


5 681, 713, 665, 958, 775
31 681, 713, 133, 958, 155
681, 23, 133, 958, 5

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

5 x 31 x 681 x 23 x 133 x 958 x 5 = 1546656248550

Therefore, the lowest common multiple of 681,713,665,958,775 is 1546656248550.

LCM Formula to Find Lowest Common Multiple of 681,713,665,958,775

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.

681 x 713 x 665 x 958 x 775 = 239731718525250

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.

681 : 1, 3, 227, 681

713 : 1, 23, 31, 713

665 : 1, 5, 7, 19, 35, 95, 133, 665

958 : 1, 2, 479, 958

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,713,665,958,775, is 1.

Now, the common factors can be found like this.

681:3x 227

713:23x 31

665:5x 7x 19

958:2x 479

775:5x 5x 31

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

5x 31 = 155

Therefore, the value for common factors is 155.

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 = 239731718525250/(1x155)

LCM = 239731718525250/155

LCM = 1546656248550

Thus, we can understand that the LCM of 681,713,665,958,775 is 1546656248550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 713, 665, 958, 775

1. What is the LCM of 681, 713, 665, 958, 775?

Answer: LCM of 681, 713, 665, 958, 775 is 1546656248550.

2. How to calculate the LCM of 681, 713, 665, 958, 775?

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 681, 713, 665, 958, 775.

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}.