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LCM of 565, 713, 655, 682

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


Find the LCM of 565, 713, 655, 682 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 565, 713, 655, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,713,655,682

Given numbers are 565,713,655,682

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

The LCM of 565,713,655,682 is 1160999290.

Find LCM of 565,713,655,682 with Prime Factorization


5 565, 713, 655, 682
31 113, 713, 131, 682
113, 23, 131, 22

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

5 x 31 x 113 x 23 x 131 x 22 = 1160999290

Therefore, the lowest common multiple of 565,713,655,682 is 1160999290.

LCM Formula to Find Lowest Common Multiple of 565,713,655,682

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.

565 x 713 x 655 x 682 = 179954889950

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.

565 : 1, 5, 113, 565

713 : 1, 23, 31, 713

655 : 1, 5, 131, 655

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,713,655,682, is 1.

Now, the common factors can be found like this.

565:5x 113

713:23x 31

655:5x 131

682:2x 11x 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 = 179954889950/(1x155)

LCM = 179954889950/155

LCM = 1160999290

Thus, we can understand that the LCM of 565,713,655,682 is 1160999290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 713, 655, 682

1. What is the LCM of 565, 713, 655, 682?

Answer: LCM of 565, 713, 655, 682 is 1160999290.

2. How to calculate the LCM of 565, 713, 655, 682?

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 565, 713, 655, 682.

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}.