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LCM of 682, 693, 353, 68

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


Find the LCM of 682, 693, 353, 68 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 682, 693, 353, 68. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,693,353,68

Given numbers are 682,693,353,68

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

The LCM of 682,693,353,68 is 515677932.

Find LCM of 682,693,353,68 with Prime Factorization


2 682, 693, 353, 68
11 341, 693, 353, 34
31, 63, 353, 34

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

2 x 11 x 31 x 63 x 353 x 34 = 515677932

Therefore, the lowest common multiple of 682,693,353,68 is 515677932.

LCM Formula to Find Lowest Common Multiple of 682,693,353,68

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.

682 x 693 x 353 x 68 = 11344914504

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.

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

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

353 : 1, 353

68 : 1, 2, 4, 17, 34, 68

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,693,353,68, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

693:3x 3x 7x 11

353:353

68:2x 2x 17

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 11344914504/(1x22)

LCM = 11344914504/22

LCM = 515677932

Thus, we can understand that the LCM of 682,693,353,68 is 515677932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 693, 353, 68

1. What is the LCM of 682, 693, 353, 68?

Answer: LCM of 682, 693, 353, 68 is 515677932.

2. How to calculate the LCM of 682, 693, 353, 68?

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 682, 693, 353, 68.

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}.